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Journal of Medicine and Pharmacy","Tạp chí Y Dược học Cần Thơ",{"EN":487,"VI":488},"\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">04\u002F10\u002F2015 Ministry of Information and Communications allowed Can Tho journal of medicine and pharmacy to operate (102 \u002FGP-BTTTT)\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">07\u002F16\u002F2015 Can Tho journal of medicine and pharmacy is internationally recognized: ISSN 2354-1210\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">In 2016, The journal has been included in the list of medical science journals by The State Council for professorship which is awarded a work score of 0-0.5 points for a published article.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Can Tho Journal of Medicine and Pharmacy welcome original works that haven’t been submitted or published in other medical journals. Posts must contain content related to one of the journal’s categories.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">The content published\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">The journal is divided into 3 categories:\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">- Scientific research article: are valuable scientific works, which have been researched and accepted.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">- Overview of medicine, biology and pharmacy: serving the objective of continuing training in the fields of medicine, biology and pharmacy; to systematize classical and modern knowledge.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">- Update information on new knowledge about medicine, biology, pharmacy in the country and in the world.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Scope\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">- Publication and introduction of scientific research in the fields:\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">+ Medicine (internal medicine, surgery, pediatrics, obstetrics and gynecology, odonto-stomatology, laboratory, oncology, traditional medicine, nursing).\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">+ Biology (genetics, biotechnology).\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">+ Pharmacology (pharmaceutics, drug quality analysis-control, synthetic pharmaceutical chemistry, biochemistry, pharmacognosy, botany, clinical pharmacy).\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">- To enhance the quality of undergraduate, postgraduate education, scientifically researching and meet the necessary treatment in hospital.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">- Introducing the updated domestic and oversea information about science technology to promote scientific research and exchanging technology in local, other universities.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">- Exchanging pharmaceutical and medical information for social health developing in the Mekong Delta and Vietnam.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">The object\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Postgraduate students, student of Can Tho University of Medicine and Pharmacy, scientists from schools, research institutes, hospitals, health centers, pharmaceutical companies of the Mekong Delta; other provinces and regions in Vietnam and other country.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Address\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Headquarters of Can Tho Journal of Medicine and Pharmacy, located Scientific Research and International Cooperation Office: 179 Nguyen Van Cu Street, An Khanh Ward, Ninh Kieu District, Can Tho City, Vietnam.\u003C\u002Fspan>\u003C\u002Fp>","\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Ngày 16\u002F7\u002F2015, Tạp chí Y Dược học Cần Thơ được cấp chỉ số quốc tế: ISSN 2354-1210.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Từ tháng 4\u002F2016, Tạp chí đã được Hội đồng Giáo sư ngành Y đưa vào danh sách các tạp chí khoa học Y học được tính điểm công trình 0-0,5 điểm cho một bài báo đăng.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Năm 2020 Tạp chí Y Dược học Cần Thơ đã được phê duyệt vào danh mục của các Hội đồng Giáo sư ngành Dược học được tính điểm công trình 0-0,5 điểm cho một bài báo đăng.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Tạp chí Y Dược học Cần Thơ ra 12 số\u002Fnăm, 180-200 trang\u002Fsố.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Từ tháng 12\u002F2022 Tạp chí Y Dược học Cần Thơ là thành viên của hệ thống Crossref và từ tháng 01\u002F2023 tạp chí thực hiện bình duyệt online kín 2 chiều nhằm tăng tính minh bạch, tin cậy của các công trình nghiên cứu khoa học và đảm bảo tốt nhất chất lượng khoa học của bài viết.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Tôn chỉ, mục đích và phạm vi của tạp chí\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Tôn chỉ và mục đích hoạt động của tạp chí: xuất bản nhằm mục đích phổ biến kết quả từ các đề tài nghiên cứu khoa học; giao lưu trao đổi khoa học, chia sẻ kinh nghiệm, học tập, đồng thời cập nhật thông tin khoa học mới trong các lĩnh vực y, sinh, dược học trong và ngoài nước.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Phạm vi của tạp chí: Tạp chí xuất bản được chia thành 3 chuyên mục: (i) Bài báo nghiên cứu khoa học là kết quả công trình nghiên cứu khoa học có giá trị đã được triển khai nghiên cứu, (ii) Bài tổng quan y, sinh, dược học: phục vụ mục tiêu đào tạo liên tục trong lĩnh vực y, sinh, dược học; nhằm hệ thống hóa những kiến thức kinh điển và hiện đại; (iii) Thông tin cập nhật kiến thức mới về y, sinh, dược học trong nước và trên thế giới.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Chính sách truy cập mở\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Tạp chí Y Dược học Cần Thơ áp dụng chính sách truy cập mở đối với các bài báo đã xuất bản đến với độc giả, nhằm mở rộng cơ hội tiếp cận các kết quả nghiên cứu chất lượng cao và tăng cường trao đổi kiến thức. Tạp chí đăng tải trực tuyến (miễn phí) toàn văn các bài báo được công bố trên website của Tạp chí (https:\u002F\u002Ftapchi.ctump.edu.vn).\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Đạo đức xuất bản\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Tạp chí Y Dược học Cần Thơ cam kết tuân thủ đạo đức xuất bản phù hợp với các hướng dẫn và tiêu chuẩn của the Committee on Publication Ethics (COPE), tuân thủ các nguyên tắc của COPE’s Core Practices, Best Practices Guidelines for Journal Editors và Guidelines on Good Publication Practices.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Bản thảo bài báo chỉ được chấp nhận khi được tác giả chịu trách nhiệm chính cam kết các nội dung sau: Các nội dung của bản thảo chưa được đăng tải toàn bộ hoặc một phần ở các tạp chí khác; Tất cả các tác giả đều có đóng góp một cách đáng kể vào quá trình nghiên cứu hoặc chuẩn bị bản thảo và cùng chịu trách nhiệm về các nội dung của bản thảo; Tuân thủ các biện pháp đảm bảo đạo đức nghiên cứu (ví dụ thỏa thuận đồng ý tham gia nghiên cứu).\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Cam kết bảo mật\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Tạp chí cam kết thực hiện và tuân thủ các quy định của luật và các văn bản hướng dẫn liên quan đến bảo mật thông tin cá nhân trên không gian mạng. Các thông tin mà người dùng (tác giả, độc giả, biên tập viên, người phản biện) nhập vào các biểu mẫu trên Hệ thống Quản lý xuất bản trực tuyến của tạp chí chỉ được sử dụng vào các mục đích đã được tuyên bố rõ ràng và sẽ không được cung cấp cho bất kỳ bên thứ ba nào khác, hay dùng vào bất kỳ mục đích nào khác.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Phí gửi bài\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Lệ phí gửi đăng bài: 1.000.000đ\u002Fbài báo\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Lệ phí gửi đăng nhanh: 1.500.000đ\u002Fbài báo\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Đối với tác giả là cán bộ viên chức thuộc Trường Đại học Y Dược Cần Thơ thì được hỗ trợ 50% lệ phí gửi đăng bài.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Đối với sinh viên thực hiện đề tài nghiên cứu khoa học cấp trường được hỗ trợ 100% lệ phí đăng bài ( Tác giả gửi đính kèm “ Quyết định về việc giao tổ chức thực hiện đề tài nghiên cứu khoa học cấp Trường của sinh viên”).\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Hình thức nộp lệ phí:\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">1. Tiền mặt:\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Nộp trực tiếp tại Phòng Tài chính - Kế toán, Trường Đại học Y Dược Cần Thơ, số 179 Nguyễn Văn Cừ, P. An Khánh, Q. Ninh Kiều, thành phố Cần Thơ.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">2. Chuyển khoản:\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Tên Tài khoản: Trường ĐHYD Cần Thơ, Số TK: 0111000115668, tại ngân hàng Vietcombank chi nhánh Cần Thơ.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Thời gian: Áp dụng từ ngày 01\u002F02\u002F2023.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">* Phí gửi bài không được hoàn trả khi bài viết bị từ chối hoặc tác giả xin rút bài viết.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Quy trình phản biện bài báo\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Tạp chí Y Dược học Cần Thơ thực hiện quy trình phản biện kín hai chiều nghiêm ngặt. Danh tính của những người phản biện không được tiết lộ cho các tác giả và ngược lại. Quy trình thẩm định bài báo đăng gồm các bước sau:\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Tiếp nhận bản thảo\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Tác giả liên hệ gửi bản thảo đến Tạp chí qua hệ thống trực tuyến tại website: https:\u002F\u002Ftapchi.ctump.edu.vn. Hướng dẫn về cách đăng ký, gửi bài và chuẩn bị bản thảo được cung cấp trên website của Tạp chí.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Sàng lọc sơ bộ\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Sau khi Tòa soạn nhận được bài báo của tác giả, Ban Thư ký sẽ tiến hành kiểm tra sơ bộ bài báo (các yêu cầu về nội dung và hình thức). Những bài báo không đúng quy cách hoặc có nội dung không phù hợp hoặc vi phạm bản quyền sẽ bị từ chối (Ban Thư ký thông báo phản hồi đến tác giả trong vòng 1 tuần). Những bài báo đủ điều kiện, được Ban Thư ký tòa soạn chuyển đến Ban Biên tập có cùng chuyên môn với nội dung bài báo để đề xuất người phản biện. Thời gian kể từ khi Ban Biên tập nhận bài báo đến khi đề xuất người phản biện bài báo chậm nhất là 5 ngày.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Vòng phản biện\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">1. Ban Thư ký gửi bài và yêu cầu phản biện đến 02 phản biện độc lập.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">2. Các phản biện gởi nhận xét cho Ban Thư ký. Thời gian từ khi gửi bài cho phản biện đến khi nhận ý kiến của phản biện tối đa là 20 ngày.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Xử ký kết quả phản biện\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">1. Nếu ý kiến đồng ý cho đăng và không cần chỉnh sửa, Ban Thư ký tiếp tục đăng bài theo qui trình.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">2. Nếu ý kiến đồng ý đăng và cần chỉnh sửa, Ban Thư ký sẽ thông tin đến tác giả chỉnh sửa theo yêu cầu của người phản biện. Thời gian chỉnh sửa và gửi lại kéo dài không quá 2 tuần, từ khi tác giả bài báo nhận được thông tin (Quá trình này có thể lặp lại tối đa 2 lần\u002F1 bài báo). Khi có sự thống nhất, đồng ý của người phản biện; bài báo được tiếp tục đăng theo qui trình.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">3. Những bài báo có chất lượng không đạt yêu cầu, cả 2 phản biện không đồng ý cho đăng sẽ bị Tòa soạn từ chối đăng.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Xuất bản\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">1. Ban Thư ký tổng hợp các bản thảo đã được tác giả hoàn thiện sau thẩm định trình Ban Biên tập xem xét, Tổng Biên tập phê duyệt, quyết định bài đăng theo các tiêu chí: sự phù hợp nội dung với tôn chỉ và mục đích, thể loại bài viết (ưu tiên các bài có bài có nghiên cứu chuyên sâu, hàm lượng khoa học cao), đóng góp mới bài báo, bài báo được ưu tiên đăng trong số gần nhất của Tạp chí theo thứ tự: tính thời sự, chất lượng bài báo và thời gian gửi bài.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">2. Ban Biên tập và Ban Thư ký biên tập bản thảo, chế bản, đọc rà soát lỗi. Thời gian hoàn thành từ 10-15 ngày.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">3. Ban Thư ký có trách nhiệm thông báo cho tác giả bài báo (bằng e-mail) về tình hình phê duyệt bài báo, thời gian, số kỳ, tập xuất bản bài báo theo qui định.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">4. Danh sách bài báo theo số Tạp chí được in ấn và phát hành trong năm định kỳ được công bố chính thức trên website: https:\u002F\u002Ftapchi.ctump.edu.vn\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>",{"VOID":490},"wcQ1uqwAAAAJ","2023-05-30T08:17:21.868+00:00",[],[494],{"id":495,"createTime":28,"updateTime":28,"relativeEntities":496,"slug":28,"properties":497,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":507,"parentIds":508,"statistic":28},"6413896b-eca9-442b-a73f-182a58a0ce40",[],{"title":498,"address":501,"country":504,"abbreviation":505},{"EN":499,"VI":500},"Can Tho University of Medicine and Pharmacy","Trường Đại học Y Dược Cần Thơ",{"EN":502,"VI":503},"No 179, Nguyen Van Cu street, An Khanh ward, Ninh Kieu district, Can Tho city, Vietnam","Số 179, đường Nguyễn Văn Cừ, phường An Khánh, quận Ninh Kiều, thành phố Cần Thơ, Việt Nam",{"VOID":15},{"VOID":506},"ctump","http:\u002F\u002Fwww.ctump.edu.vn\u002F",[],[],"https:\u002F\u002Ftapchi.ctump.edu.vn\u002Findex.php\u002Fctump",{"impactFactor":32,"impactFactorByYear":512,"i10Index":32,"i10IndexLast5Year":32,"totalPublication":514,"totalPublicationByYear":515,"totalCitation":520,"totalCitationByYear":521,"totalCitationPerPublication":108,"totalCitationPerPublicationByYear":523,"hindexLast5Year":45,"hindex":45},{"2022":513,"2023":111,"2024":106},0.01,1556,{"2020":47,"2021":516,"2022":517,"2023":518,"2024":519,"2025":122},57,306,801,358,161,{"2021":146,"2022":280,"2023":522},99,{"2021":524,"2022":318,"2023":104},0.23,{"impactFactor":28,"impactFactorByYear":28,"i10Index":123,"i10IndexLast5Year":123,"totalPublication":526,"totalPublicationByYear":527,"totalCitation":526,"totalCitationByYear":528,"totalCitationPerPublication":40,"totalCitationPerPublicationByYear":531,"hindexLast5Year":49,"hindex":49},476,{"0":205,"2019":123,"2021":139,"2022":459,"2023":451,"2024":357,"2025":49,"2026":48},{"2021":42,"2022":123,"2023":161,"2024":529,"2025":360,"2026":530},136,83,{"2021":105,"2022":513,"2023":532,"2024":127,"2025":533,"2026":534},0.62,25.43,13.83,{"id":536,"createTime":537,"updateTime":382,"relativeEntities":538,"slug":539,"properties":540,"entityType":25,"verifyStatus":26,"verifyTime":28,"verifyNote":28,"languages":552,"translateLanguages":28,"viewCount":133,"subjectFields":553,"manageAffiliations":554,"indexDatabases":555,"url":556,"thumbnailPath":557,"statistic":558,"gsStatistic":594,"type":55,"analyzePriority":28},"6984a56a-db70-403b-9cc4-4013e1ceaffa","2023-05-09T06:47:40.346+00:00",[],"T%E1%BA%A1p%20ch%C3%AD%20Nghi%C3%AAn%20c%E1%BB%A9u%20n%C6%B0%E1%BB%9Bc%20ngo%C3%A0i",{"country":541,"issn":542,"title":544,"introduce":547,"gsId":550},{"VOID":15},{"VOID":543},"25252445",{"EN":545,"VI":546},"VNU Journal of Foreign Studies","Tạp chí Nghiên cứu nước ngoài",{"EN":548,"VI":549},"{\"ops\":[{\"insert\":\"\\n\\nThe \\n\"},{\"attributes\":{\"italic\":true},\"insert\":\"VNU Journal of Science\"},{\"insert\":\"\\n was established in 1985 for the publication of national and international research papers in all fields of natural sciences and technology, social sciences and humanities. 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this paper, we are interested in the analysis of a well-known free boundary\u002Fshape optimization problem motivated by some issues arising in population dynamics. The question is to determine optimal spatial arrangements of favorable and unfavorable regions for a species to survive. The mathematical formulation of the model leads to an indefinite weight linear eigenvalue problem in a fixed box \n                  \n                    \n                  \n                  $$\\Omega $$\n                  \n                    \n                  \n                 and we consider the general case of Robin boundary conditions on \n                  \n                    \n                  \n                  $$\\partial \\Omega $$\n                  \n                    \n                  \n                . It is well known that it suffices to consider bang-bang weights taking two values of different signs, that can be parametrized by the characteristic function of the subset E of \n                  \n                    \n                  \n                  $$\\Omega $$\n                  \n                    \n                  \n                 on which resources are located. Therefore, the optimal spatial arrangement is obtained by minimizing the positive principal eigenvalue with respect to E, under a volume constraint. By using symmetrization techniques, as well as necessary optimality conditions, we prove new qualitative results on the solutions. Namely, we completely solve the problem in dimension 1, we prove the counter-intuitive result that the ball is almost never a solution in dimension 2 or higher, despite what suggest the numerical simulations. We also introduce a new rearrangement in the ball allowing to get a better candidate than the ball for optimality when Neumann boundary conditions are imposed. We also provide numerical illustrations of our results and of the optimal configurations.",{"EN":1137},"Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions",{"VOID":1139},"Afrouzi, G.A., Brown, K.J.: On principal eigenvalues for boundary value problems with indefinite weight and Robin boundary conditions. Proc. Am. Math. Soc. 127(1), 125–130 (1999)\nKolmogorov, A.N., Petrovsky, I.G., Piskunov, N.S.: Etude de l’équation de la diffusion avec croissance de la quantité de matière et son application à un problème biologique. Moscow Univ. Math. Bull. 1, 1–26 (1937)\nBandle, C.: Isoperimetric inequality for some eigenvalues of an inhomogeneous, free membrane. SIAM J. Appl. Math. 22, 142–147 (1972)\nBandle, C.: Isoperimetric inequalities and applications, monographs and studies in mathematics, vol. 7. Pitman (Advanced Publishing Program), Boston (1980)\nBerestycki, H.: Personal communication (2012)\nBerestycki, H., Hamel, F., Roques, L.: Analysis of the periodically fragmented environment model. I. Species persistence. J. Math. Biol. 51(1), 75–113 (2005)\nBerestycki, H., Lachand-Robert, T.: Some properties of monotone rearrangement with applications to elliptic equations in cylinders. Math. Nachr. 266, 3–19 (2004)\nBôcher, M.: The smallest characteristic numbers in a certain exceptional case. Bull. Am. Math. Soc. 21(1), 6–9 (1914)\nCantrell, R.S., Cosner, C.: Diffusive logistic equations with indefinite weights: population models in disrupted environments. Proc. R. Soc. Edinburgh Sect. A 112(3–4), 293–318 (1989)\nCantrell, R.S., Cosner, C.: Diffusive logistic equations with indefinite weights: population models in disrupted environments II. SIAM J. Math. Anal. 22(4), 1043–1064 (1991)\nCantrell, R.S., Cosner, C.: The effects of spatial heterogeneity in population dynamics. J. Math. Biol. 29(4), 315–338 (1991)\nCantrell, R.S., Cosner, C.: Spatial ecology via reaction-diffusion equations. Wiley Series in Mathematical and Computational Biology. Wiley, Chichester (2003)\nChanillo, S., Grieser, D., Imai, M., Kurata, K., Ohnishi, I.: Symmetry breaking and other phenomena in the optimization of eigenvalues for composite membranes. Comm. Math. Phys. 214(2), 315–337 (2000)\nChanillo, S., Grieser, D., Kurata, K.: The free boundary problem in the optimization of composite membranes. In: Differential geometric methods in the control of partial differential equations (Boulder, CO, 1999), vol 268. Contemp. Math., p 61–81. Am. Math. Soc., Providence, RI (2000)\nChanillo, S., Kenig, C.E.: Weak uniqueness and partial regularity for the composite membrane problem. J. Eur. Math. Soc. (JEMS) 10(3), 705–737 (2008)\nChanillo, S., Kenig, C.E., To, T.: Regularity of the minimizers in the composite membrane problem in \\({\\mathbb{R}}^2\\). J. Funct. Anal. 255(9), 2299–2320 (2008)\nColbois, B., El Soufi, A.: Spectrum of the Laplacian with weights. Working paper or preprint (2016)\nCox, S.J., McLaughlin, J. R.: Extremal eigenvalue problems for composite membranes. I, II. Appl. Math. Optim. 22(2):153–167, 169–187 (1990)\nDerlet, A., Gossez, J.-P., Takáč, P.: Minimization of eigenvalues for a quasilinear elliptic Neumann problem with indefinite weight. J. Math. Anal. Appl. 371(1), 69–79 (2010)\nFisher, R.A.: The advance of advantageous genes. Ann. Eugen. 7, 335–369 (1937)\nFleming, W.H.: A selection-migration model in population genetics. J. Math. Biol. 2(3), 219–233 (1975)\nGirouard, A., Polterovich, I.: Shape optimization for low Neumann and Steklov eigenvalues. Math. Methods Appl. Sci. 33(4), 501–516 (2010)\nHarrell II, E.M., Kröger, P., Kurata, K.: On the placement of an obstacle or a well so as to optimize the fundamental eigenvalue. SIAM J. Math. Anal. 33(1), 240–259 (2001) (electronic)\nHenrot, A.: Extremum problems for eigenvalues of elliptic operators. Frontiers in Mathematics. Birkhäuser Verlag, Basel (2006)\nHenrot, A., Oudet, E.: Minimizing the second eigenvalue of the Laplace operator with Dirichlet boundary conditions. Arch. Ration. Mech. Anal. 169(1), 73–87 (2003)\nHenrot, A., Privat, Y.: What is the optimal shape of a pipe? Arch. Ration. Mech. Anal. 196(1), 281–302 (2010)\nHess, P., Kato, T.: On some linear and nonlinear eigenvalue problems with an indefinite weight function. Comm. Partial Differ. Equ. 5(10), 999–1030 (1980)\nHintermüller, M., Kao, C.-Y., Laurain, A.: Principal eigenvalue minimization for an elliptic problem with indefinite weight and Robin boundary conditions. Appl. Math. Optim. 65(1), 111–146 (2012)\nJha, K., Porru, G.: Minimization of the principal eigenvalue under Neumann boundary conditions. Numer. Funct. Anal. Optim. 32(11), 1146–1165 (2011)\nKao, C.-Y., Lou, Y., Yanagida, E.: Principal eigenvalue for an elliptic problem with indefinite weight on cylindrical domains. Math. Biosci. Eng. 5(2), 315–335 (2008)\nKawohl, B.: On the isoperimetric nature of a rearrangement inequality and its consequences for some variational problems. Arch. Rational Mech. Anal. 94(3), 227–243 (1986)\nKohn, R.V., Strang, G.: Optimal design and relaxation of variational problems, I. Comm. Pure Appl. Math. 39(1), 113–137 (1986)\nKohn, R.V., Strang, G.: Optimal design and relaxation of variational problems, II. Comm. Pure Appl. Math. 39(2), 139–182 (1986)\nKohn, R.V., Strang, G.: Optimal design and relaxation of variational problems, III. Comm. Pure Appl. Math. 39(3), 353–377 (1986)\nKrein, M.G.: On certain problems on the maximum and minimum of characteristic values and on the Lyapunov zones of stability. Am. Math. Soc. Transl. 2(1), 163–187 (1955)\nLaugesen, R.S.: Eigenvalues of the Laplacian on inhomogeneous membranes. Am. J. Math. 120(2), 305–344 (1998)\nLou, Y., Yanagida, E.: Minimization of the principal eigenvalue for an elliptic boundary value problem with indefinite weight, and applications to population dynamics. Jpn. J. Indust. Appl. Math. 23(3), 275–292 (2006)\nNelson, E.: Analytic vectors. Ann. Math. 2(70), 572–615 (1959)\nPrivat, Y., Trélat, E., Zuazua, E.: Complexity and regularity of maximal energy domains for the wave equation with fixed initial data. Discrete Contin. Dyn. Syst. Ser. A 35(12), 6133–6153 (2015)\nRakotoson, J. -M.: Réarrangement relatif: Un instrument d’estimations dans les problèmes aux limites. [An estimation tool for limit problems], vol 64. Math. Appl. (Berlin). Springer, Berlin (2008)\nRoques, L., Hamel, F.: Mathematical analysis of the optimal habitat configurations for species persistence. Math. Biosci. 210(1), 34–59 (2007)\nSkellam, J.G.: Random dispersal in theoretical populations. 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prove partial regularity of vector-valued minimizers u of the polyconvex variational integral \n                  $\\int \\left(f\\left(x,u,{\\cal M}\\left(Du\\right) \\right) + g\\left(x,u\\right) \\right) dx$\n                , where \n                  ${\\cal M}\\left(Du\\right) $\n                 stands for the minors of the gradient Du. For the integrand, we assume f to be a continuous function of class C\n                        2, strictly convex and of polynomial growth in the minors, and g to be a bounded Carathéodory function. We do not employ a Caccioppoli inequality.",{"EN":1267},"Partial regularity of minimizers of polyconvex variational integrals",{"VOID":1269},"Ball, J.M.: Convexity conditions and existence theorems in nonlinear elasticity. Arch. Rat. Mech. Anal. 63, 337-403 (1977)\nEvans, L.C.: Quasiconvexity and partial regularity in the calculus of variations. Arch. Rat. Mech. Anal. 95, 227-252 (1986)\nFusco, N., Hutchinson, J.E.: Partial regularity in problems motivated by nonlinear elasticity. SIAM J. Math. Anal. 22, 1516-1551 (1991)\nFusco, N., Hutchinson, J.E.: Partial regularity and everywhere continuity for a model problem from non-linear elasticity. J. Austral. Math. Soc. A 57, 158-169 (1994)\nGiaquinta, M.: Multiple integrals in the calculus of variations and nonlinear elliptic systems. Princeton University Press, Princeton 1983\nGiaquinta, M., Modica, G., Sou cek, J.: Partial regularity of Cartesian currents which minimize certain variational integrals. In: Colombini, F., Marino, A., Modica, L., Spagnolo, S. (eds.) Partial differential equations and the calculus of variations (Essays in honor of Ennio De Giorgi), Vol. II, pp. 563-587. Birkhäuser, Boston 1989\nGiusti, E.: Metodi diretti nel calcolo delle variazioni. UMI, Bologna 1994\nHamburger, C.: Partial regularity for minimizers of variational integrals with discontinuous integrands. Ann. Inst. Henri Poincaré, Anal. Non Lin. 13, 255-282 (1996)\nHamburger, C.: A new partial regularity proof for solutions of nonlinear elliptic systems. Manuscr. Math. 95, 11-31 (1998)\nHamburger, C.: Partial regularity of solutions of nonlinear quasimonotone systems. To appear in: Hokkaido Math. J.\nPassarelli di Napoli, A.: A regularity result for a class of polyconvex functionals. Ric. Mat. 48, 379-393 (1999)",{"VOID":1271},"10.1007\u002Fs00526-003-0189-x","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs00526-003-0189-x",[1274],{"id":1275,"sortIndex":32,"researcher":28,"roles":1276,"affiliations":1277,"properties":1286,"displayName":1288,"givenName":28,"familyName":28},"54201a83-876f-4486-bace-d6650c909f6d",[1025],[1278],{"id":1279,"sortIndex":32,"affiliation":1280,"properties":28},"7e27e3a9-de75-4707-ae4a-aaaf8dbb6759",{"id":1279,"createTime":28,"updateTime":28,"relativeEntities":1281,"slug":28,"properties":1282,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1285,"statistic":28},[],{"title":1283},{"VI":1284},"Private address, Bonn, Germany",[],{"title":1287},{"VI":1288},"Christoph 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study the evolution of star-shaped sets in volume preserving mean curvature flow. Constructed by approximate minimizing movements, our solution preserves a strong version of star-shapedness. We also show that the solution converges to a ball as time goes to infinity. For asymptotic behavior of the solution we use the gradient flow structure of the problem, whereas a modified notion of viscosity solutions is introduced to study the geometric properties of the flow by moving planes method.",{"EN":1354},"Volume preserving mean curvature flow for star-shaped sets",{"VOID":1356},"Antonopoulou, D.C., Karali, G., Sigal, I.M.: Stability of spheres under volume-preserving mean curvature flow. Dyn. PDE 7(4), 327–344 (2010)\nAndrews, B.: Volume-preserving anisotropic mean curvature flow. Indiana Univ. Math. J. 50(2), 783–827 (2001)\nAthanassenas, M.: Volume-preserving mean curvature flow of rotationally symmetric surfaces. Comment. Math. Helv. 72(1), 52–66 (1997)\nBarles, G.: An introduction to the theory of viscosity solutions for first-order Hamilton–Jacobi equations and applications. Hamilton–Jacobi Equations: Approximations, Numerical Analysis and Applications, pp. 49–109. Springer, Berlin (2013)\nBellettini, G., Caselles, V., Chambolle, A., Novaga, M.: The volume preserving crystalline mean curvature flow of convex sets in RN. J. Math. Pures Appl. 92(5), 499–527 (2009)\nBourgoing, M.: Viscosity solutions of fully nonlinear second order parabolic equations with \\(l^1\\) dependence in time and neumann boundary conditions. Discrete Contin. Dyn. Syst. A 21(3), 763–800 (2008)\nBourgoing, M.: Viscosity solutions of fully nonlinear second order parabolic equations with \\(l^1\\) dependence in time and neumann boundary conditions. existence and applications to the level-set approach. Discrete Contin. Dyn. Syst. A 21(4), 1047–1069 (2008)\nBarles, G., Soner, H.M., Souganidis, P.E.: Front propagation and phase field theory. SIAM J. Control Optim. 31(2), 439–469 (1993)\nChen, Y.G., Giga, Y., Goto, S.: Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations. J. Differ. Geom. 33(3), 749–786 (1991)\nCaffarelli, L.A., Salsa, S.: A Geometric Approach to Free Boundary Problems, vol. 68. American Mathematical Society, Providence (2005)\nEcker, K.: Regularity Theory for Mean Curvature Flow. Springer, Boston (2004)\nEvans, L.C., Gariepy, R.F.: Measure Theory and Fine Properties of Functions. Studies in Advanced Mathematics. CRC Press, Boca Raton (1992)\nEcker, K., Huisken, G.: Interior estimates for hypersurfaces moving by mean curvature. Invent. Math. 105(3), 547–569 (1991)\nEscher, J., Simonett, G.: The volume preserving mean curvature flow near spheres. Proc. Am. Math. Soc. 126(9), 2789–2796 (1998)\nFeldman, W.M., Kim, I.C.: Dynamic stability of equilibrium capillary drops. Arch. Rational Mech. Anal. 211(3), 819–878 (2014)\nGiga, Y.: Surface Evolution Equations, vol. 99. Birkhäuser, Basel (2006). Monographs in Mathematics\nGilbarg, D., Trudinger, N.S.: Elliptic Partial Differential Equations of Second Order. Springer, Berlin (2015)\nHuisken, G.: The volume preserving mean curvature flow. J. Reine Angew. Math. 382(35–48), 78 (1987)\nIshii, H.: Hamilton-Jacobi equations with discontinuous Hamiltonians on arbitrary open sets. 28, 33–77 (1985)\nKim, I., Kwon, D.: On mean curvature flow with forcing. Commun. Partial Differ. Equ. 45, 414–455 (2019)\nLi, H.: The volume-preserving mean curvature flow in Euclidean space. Pac. J. Math. 243(2), 331–355 (2009)\nMaggi, F.: Sets of Finite Perimeter and Geometric Variational Problems: An Introduction to Geometric Measure Theory. Cambridge University Press, Cambridge (2012)\nMugnai, L., Seis, C., Spadaro, E.: Global solutions to the volume-preserving mean-curvature flow. Calc. Var. Partial. Differ. Equ. 55(1), 18–23 (2016)\nTakasao, K.: Existence of weak solution for volume preserving mean curvature flow via phase field method. Indiana Univ. Math. J. 66, 2015–2035 (2017)",{"VOID":1358},"10.1007\u002Fs00526-020-01738-0","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs00526-020-01738-0",[1361,1376],{"id":1362,"sortIndex":32,"researcher":28,"roles":1363,"affiliations":1364,"properties":1373,"displayName":1375,"givenName":28,"familyName":28},"e44a3ed1-65ba-4c92-8545-adc2b8e036b6",[1025],[1365],{"id":1366,"sortIndex":32,"affiliation":1367,"properties":28},"09733ce6-e3b9-4ab8-a69b-ea5a9bb88cbe",{"id":1366,"createTime":28,"updateTime":28,"relativeEntities":1368,"slug":28,"properties":1369,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1372,"statistic":28},[],{"title":1370},{"VI":1371},"Department of Mathematics, UCLA, Los Angeles, USA",[],{"title":1374},{"VI":1375},"Inwon 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paper is devoted to the spectral analysis of the Laplacian with constant magnetic field on a cone of aperture \n                  \n                    \n                  \n                  $$\\alpha $$\n                  \n                    \n                  \n                 and Neumann boundary condition. We analyze the influence of the orientation of the magnetic field. In particular, for any orientation of the magnetic field, we prove the existence of discrete spectrum below the essential spectrum in the limit \n                  \n                    \n                  \n                  $$\\alpha \\rightarrow 0$$\n                  \n                    \n                  \n                 and establish a full asymptotic expansion for the \n                  \n                    \n                  \n                  $$n$$\n                  \n                    \n                  \n                -th eigenvalue and the \n                  \n                    \n                  \n                  $$n$$\n                  \n                    \n                  \n                -th eigenfunction.",{"EN":1454},"Magnetic Neumann Laplacian on a sharp cone",{"VOID":1456},"Agmon, S.: Lectures on Exponential Decay of Solutions of Second-Order Elliptic Equations: Bounds on Eigenfunctions of \\(N\\)-body Schrödinger Operators, vol. 29 of Mathematical Notes. Princeton University Press, Princeton (1982)\nAgmon, S.: Bounds on exponential decay of eigenfunctions of Schrödinger operators. In: Schrödinger Operators (Como, 1984), vol. 1159 of Lecture Notes in Math., pp. 1–38. Springer, Berlin (1985)\nBonnaillie, V.: On the fundamental state energy for a Schrödinger operator with magnetic field in domains with corners. Asymptot. Anal. 41(3–4), 215–258 (2005)\nBonnaillie-Noël, V., Dauge, M.: Asymptotics for the low-lying eigenstates of the Schrödinger operator with magnetic field near corners. Ann. Henri Poincaré 7(5), 899–931 (2006)\nBonnaillie-Noël, V., Dauge, M., Popoff, N., Raymond, N.: Discrete spectrum of a model Schrödinger operator on the half-plane with Neumann conditions. Z. Angew. Math. Phys. 63(2), 203–231 (2012)\nBonnaillie-Noël, V., Dauge, M., Raymond, N.: Magnetic Schrödinger operators on conical domains with smal aperture. In preparation (2014)\nBonnaillie-Noël, V., Fournais, S.: Superconductivity in domains with corners. Rev. Math. Phys. 19(6), 607–637 (2007)\nBonnaillie-Noël, V., Raymond, N.: Peak power in the 3D magnetic Schrödinger equation. J. Funct. Anal. 265(8), 1579–1614 (2013)\nCycon, H.L., Froese, R.G., Kirsch, W., Simon, B.: Schrödinger Operators with Application to Quantum Mechanics and Global Geometry. Texts and Monographs in Physics, study edn. Springer, Berlin (1987)\nDauge, M.: Elliptic Boundary Value Problems on Corner Domains, vol. 1341 of Lecture Notes in Mathematics. Smoothness and Asymptotics of Solutions. Springer, Berlin (1988)\nFournais, S., Helffer. B.: Spectral Methods in Surface Superconductivity. Progress in Nonlinear Differential Equations and their Applications, vol. 77. Birkhäuser Boston Inc., Boston (2010)\nGiorgi, T., Phillips, D.: The breakdown of superconductivity due to strong fields for the Ginzburg–Landau model. SIAM J. Math. Anal. 30(2), 341–359 (1999). (electronic)\nHelffer, B., Morame, A.: Magnetic bottles in connection with superconductivity. J. Funct. Anal. 185(2), 604–680 (2001)\nHelffer, B., Pan, X.-B.: Upper critical field and location of surface nucleation of superconductivity. Ann. Inst. H. Poincaré Anal. Non Linéaire 20(1), 145–181 (2003)\nJadallah, H.T.: The onset of superconductivity in a domain with a corner. J. Math. Phys. 42(9), 4101–4121 (2001)\nKondrat’ev, V.A.: Boundary-value problems for elliptic equations in domains with conical or angular points. Trans. Moscow Math. Soc. 16, 227–313 (1967)\nLu, K., Pan, X.-B.: Estimates of the upper critical field for the Ginzburg–Landau equations of superconductivity. Phys. D 127(1–2), 73–104 (1999)\nLu, K., Pan, X.-B.: Surface nucleation of superconductivity in 3-dimensions. J. Differ. Equ. 168(2) 386–452 (2000). Special issue in celebration of Jack K. Hale’s 70th birthday, Part 2 (Atlanta, GA\u002FLisbon, 1998)\nPan, X.-B.: Upper critical field for superconductors with edges and corners. Calc. Var. Partial Differ. Equ. 14(4), 447–482 (2002)\nPan, X.-B.: Surface superconductivity in 3 dimensions. Trans. Am. Math. Soc. 356(10), 3899–3937 (2004). (electronic)\nPersson, A.: Bounds for the discrete part of the spectrum of a semi-bounded Schrödinger operator. Math. Scand. 8, 143–153 (1960)\nPopoff, N.: Sur l’opérateur de Schrödinger magnétique dans un domaine diédral. (thèse de doctorat). Université de Rennes 1 (2012)\nPopoff, N.: The Schrödinger operator on an infinite wedge with a tangent magnetic field. J. Math. Phys. 54, 041507 (2013)\nRaymond, N.: Semiclassical 3D Neumann Laplacian with variable magnetic field: a toy model. Comm. Partial Differ. Equ. 37(9), 1528–1552 (2012)\nRaymond, N.: Breaking a magnetic zero locus: asymptotic analysis. Math. Models Methods Appl. Sci. 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We show that if the initial hypersurface \n                  \n                    \n                  \n                  $$\\Sigma $$\n                  \n                    \n                  \n                 is strictly mean convex and star-shaped, then the flow hypersurface \n                  \n                    \n                  \n                  $$\\Sigma _t$$\n                  \n                    \n                  \n                 converges to a large coordinate sphere as \n                  \n                    \n                  \n                  $$t\\rightarrow \\infty $$\n                  \n                    \n                  \n                 exponentially. We also describe an application of this convergence result. In the second part of this paper, we will analyse the inverse mean curvature flow in Kottler–Schwarzschild manifold. By deriving a lower bound for the mean curvature on the flow hypersurface independently of the initial mean curvature, we can use an approximation argument to show the global existence and regularity of the smooth inverse mean curvature flow for star-shaped and weakly mean convex initial hypersurface, which generalizes Huisken–Ilmanen’s (J Differ Geom 80:433–451, 2008) result.",{"EN":1554},"On inverse mean curvature flow in Schwarzschild space and Kottler space",{"VOID":1556},"Bray, H., Neves, A.: Classification of prime 3-manifolds with Yamabe invariant greater than \\({\\mathbb{RP}}^3\\). Ann. Math. 159, 407–424 (2004)\nBrendle, S.: Constant mean curvature surfaces in warped product manifolds. Publications Mathématiques de l’IHÉS 117, 247–269 (2013)\nBrendle, S., Hung, P.-K., Wang, M.-T.: A Minkowski-type inequality for hypersurfaces in the Anti-deSitter–Schwarzschild manifold. Commun. Pure Appl. Math. 69(1), 124–144 (2016)\nDe lima, L.L., Girão, F.: An Alexandrov–Fenchel-type inequality in hyperbolic space with an application to a penrose inequality. Ann. Henri Poincaré 17(4), 979–1002 (2016)\nDe Lima, L.L., Girão, F.: A Penrose inequality for asymptotically locally hyperbolic graphs. arXiv:1304.7887\nDing, Q.: The inverse mean curvature flow in rotationally symmetric spaces. Chin. Ann. Math. Ser. B 32(1), 27–44 (2011)\nGerhardt, C.: Flow of nonconvex hypersurfaces into spheres. J. Differ. Geom. 32, 299–314 (1990)\nGerhardt, C.: Curvature Problems, Ser. in Geom. and Topol., vol. 39. International Press, Somerville (2006)\nGerhardt, C.: Inverse curvature flows in hyperbolic space. J. Differ. Geom. 89(3), 487–527 (2011)\nGerhardt, C.: Curvature flows in the sphere. J. Differ. Geom. 100, 301–347 (2014)\nGuan, P., Li, J.: The quermassintegral inequalities for k-convex starshaped domains. Adv. Math. 221, 1725–1732 (2009)\nGe, Y., Wang, G., Wu, J.: Hyperbolic Alexandrov–Fenchel quermassintegral inequalities II. J. Differ. Geom. 98(2), 237–260 (2014)\nGe, Y., Wang, G., Wu, J., Xia, C.: A Penrose inequality for graphs over Kottler space. Calc. Var. PDE 52, 755–782 (2015)\nHamilton, R.S.: Four-manifolds with positive curvature operator. J. Differ. Geom. 24, 153–179 (1986)\nHuisken, G.: Flow by mean curvature of convex surfaces into spheres. J. Differ. Geom. 20, 237–266 (1984)\nHuisken, G.: Contracting convex hypersurfaces in Riemannian manifolds by their mean curvature. Invent. math. 84(3), 463–480 (1986)\nHuisken, G., Ilmanen, T.: The inverse mean curvature flow and the Riemannian Penrose inequality. J. Differ. Geom. 59, 353–438 (2001)\nHuisken, G., Ilmanen, T.: Higher regularity of the inverse mean curvature flow. J. Differ. Geom. 80, 433–451 (2008)\nKrylov, N.V.: Nonlinear Elliptic and Parabolic Equations of the Second Order. Reidel, Dordrecht (1987)\nLee, D.A., Neves, A.: The Penrose inequality for asymptotically locally hyperbolic spaces with nonpositive mass. Commun. Math. Phys. 339, 327–352 (2015)\nLi, H., Wei, Y., Xiong, C.: A geometric inequality on hypersurface in hyperbolic space. Adv. Math. 253, 152–162 (2014)\nLi, H., Wei, Y., Xiong, C.: Erratum: A note on Weingarten hypersurface in the warped product manifold. Intern. J. Math 27(13), 1692001 (2016)\nMakowski, M., Scheuer, J.: Rigidity results, inverse curvature flows and Alexandrov–Fenchel type inequalities in the sphere. Asian J. Math. 20(5), 869–892 (2016)\nNeves, A.: Insufficient convergence of inverse mean curvature flow on asymptotically hyperbolic manifolds. J. Differ. Geom. 84(1), 191–229 (2010)\nPetersen, P.: Riemannian Geometry, GTM 171, 2nd edn. Springer, New York (2006)\nScheuer, J.: The inverse mean curvature flow in warped cylinders of non-positive radial curvature. Adv. Math. 306, 1130–1163 (2017)\nUrbas, J.: On the expansion of star-shaped hypersurfaces by symmetric functions of their principal curvatures. Math. Z. 205, 355–372 (1990)\nWei, Y., Xiong, C.: Inequalities of Alexandrov–Fenchel type for convex hypersurfaces in hyperbolic space and in the sphere. Pacific J. Math. 277(1), 219–239 (2015)",{"VOID":1558},"10.1007\u002Fs00526-017-1160-6","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs00526-017-1160-6",[1561,1576],{"id":1562,"sortIndex":32,"researcher":28,"roles":1563,"affiliations":1564,"properties":1573,"displayName":1575,"givenName":28,"familyName":28},"95374f12-5062-4087-837e-83d1ca28756f",[1025],[1565],{"id":1566,"sortIndex":32,"affiliation":1567,"properties":28},"1083ac81-8665-416d-8098-2ac904a03e90",{"id":1566,"createTime":28,"updateTime":28,"relativeEntities":1568,"slug":28,"properties":1569,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1572,"statistic":28},[],{"title":1570},{"VI":1571},"Department of Mathematical Sciences, Tsinghua University, Beijing, People’s Republic of China",[],{"title":1574},{"VI":1575},"Haizhong 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this paper, we investigate the minimization of a functional in which the usual perimeter is competing with a nonlocal singular term comparable (but not necessarily equal to) a fractional perimeter. The motivation for this problem is a cell motility model introduced in some previous work by the first author. We establish several facts about global minimizers with a volume constraint. In particular we prove that minimizers exist and are radially symmetric for small mass, while minimizers cannot be radially symmetric for large mass. For large mass, we prove that the minimizing sequences either split into smaller sets that drift to infinity or must develop intricate non-symmetrical shape. Finally, we connect these two alternatives to a related minimization problem for the optimal constant in a classical interpolation inequality (a Gagliardo–Nirenberg type inequality for fractional perimeter).",{"EN":1656},"An isoperimetric problem with a competing nonlocal singular term",{"VOID":1658},"Ambrosio, L., De Philippis, G., Martinazzi, L.: Gamma-convergence of nonlocal perimeter functionals. Manuscr. Math. 134, 377–403 (2011)\nBerendsen, J., Pagliari, V.: On the asymptotic behaviour of nonlocal perimeters. ESAIM Control Optim. Calc. Var. 25, 48 (2019)\nBlumenthal, R.M., Getoor, R.K.: Some theorems on stable processes. Trans. Am. Math. Soc. 95, 263–273 (1960)\nBonacini, M., Cristoferi, R.: Local and global minimality results for a nonlocal isoperimetric problem on \\(\\mathbb{R}^N\\). SIAM J. Math. Anal. 46, 2310–2349 (2014)\nBourgain, J., Brezis, H., Mironescu, P.: Another look at Sobolev spaces. In: Menaldi, J.L., Rofman, E., Sulem, A. (eds.) Optimal control and partial differential equations, pp. 439–455. IOS, Amsterdam (2001)\nCaffarelli, L., Roquejoffre, J.-M., Savin, O.: Nonlocal minimal surfaces. Commun. Pure Appl. Math. 63, 1111–1144 (2010)\nCaffarelli, L., Valdinoci, E.: Regularity properties of nonlocal minimal surfaces via limiting arguments. Adv. Math. 248, 843–871 (2013)\nChoksi, R., Muratov, C.B., Topaloglu, I.: An old problem resurfaces nonlocally: Gamow’s liquid drops inspire today’s research and applications. Notices Am. Math. Soc. 64, 1275–1283 (2017)\nCucchi, A., Mellet, A., Meunier, N.: A Cahn-Hilliard model for cell motility. SIAM J. Math. Anal. 52(4), 3843–3880 (2020)\nDávila, J.: On an open question about functions of bounded variation. Calc. Var. Partial Differ. Equ. 15, 519–527 (2002)\nDi Castro, A., Novaga, M., Ruffini, B., Valdinoci, E.: Nonlocal quantitative isoperimetric inequalities. Calc. Var. Partial Differ. Equ. 54, 2421–2464 (2015)\nDipierro, S., Figalli, A., Palatucci, G., Valdinoci, E.: Asymptotics of the \\(s\\)-perimeter as \\(s\\searrow 0\\). Discrete Contin. Dyn. Syst. 33, 2777–2790 (2013)\nErdélyi, A., Magnus, W., Oberhettinger, F., Tricomi, F.G.: Higher transcendental functions. Vols. I, II, McGraw-Hill Book Company, Inc., New York–Toronto–London (1953) (based, in part, on notes left by Harry Bateman)\nFigalli, A., Fusco, N., Maggi, F., Millot, V., Morini, M.: Isoperimetry and stability properties of balls with respect to nonlocal energies. Commun. Math. Phys. 336, 441–507 (2015)\nFigalli, A., Valdinoci, E.: Regularity and Bernstein-type results for nonlocal minimal surfaces. J. Reine Angew. Math. 729, 263–273 (2017)\nFrank, R.L., Lieb, E.H.: A compactness lemma and its application to the existence of minimizers for the liquid drop model. SIAM J. Math. Anal. 47, 4436–4450 (2015)\nFuglede, B.: Stability in the isoperimetric problem for convex or nearly spherical domains in rn. Trans. Am. Math. Soc. 314, 619–638 (1989)\nFusco, N., Maggi, F., Pratelli, A.: The sharp quantitative isoperimetric inequality. Ann. Math. 168, 941–980 (2008)\nGlasner, K.: A diffuse interface approach to Hele–Shaw flow. Nonlinearity 16, 49–66 (2003)\nKnüpfer, H., Muratov, C.B.: On an isoperimetric problem with a competing nonlocal term I: the planar case. Commun. Pure Appl. Math. 66, 1129–1162 (2013)\nKnüpfer, H., Muratov, C.B.: On an isoperimetric problem with a competing nonlocal term II: the general case. Commun. Pure Appl. Math. 67, 1974–1994 (2014)\nKnüpfer, H., Muratov, C.B., Novaga, M.: Low density phases in a uniformly charged liquid. Commun. Math. Phys. 345, 141–183 (2016)\nMazón, J.M., Rossi, J.D., Toledo, J.: Nonlocal perimeter, curvature and minimal surfaces for measurable sets. J. Anal. Math. 138, 235–279 (2019)\nMuratov, C.B., Novaga, M.: On well-posedness of variational models of charged drops. Proc. A. 472 (2016)\nMuratov, C.B., Novaga, M., Ruffini, B.: On equilibrium shape of charged flat drops. Commun. Pure Appl. Math. 71, 1049–1073 (2018)\nMuratov, C.B., Simon, T.M.: A nonlocal isoperimetric problem with dipolar repulsion. Commun. Math. Phys. 372, 1059–1115 (2019)\nPegon, M.: Large mass minimizers for isoperimetric problems with integrable nonlocal potentials, (2020)\nPolya, G.: On the zeros of an integral function represented by Fourier’s integral. Messenger Math. 52, 185–188 (1923)\nStein, E.M., Weiss, G.: Introduction to Fourier analysis on Euclidean spaces. Princeton University Press, Princeton, NJ (1971). Princeton Mathematical Series, No. 32\nTamanini, I.: Boundaries of caccioppoli sets with Hölder–Continuois normal vector. Journal für die Reine und Angewandte Mathematik 334, 27–39 (1982)\nValdinoci, E.: A fractional framework for perimeters and phase transitions. Milan J. 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North-Holland, Amsterdam (1981)",{"id":28,"text":1974,"url":28,"identifiers":28},"Papanicolaou, G.C., Varadhan, S.R.S.: Diffusions with random coefficients. In: Statistics and probability: essays in honor of C. R. Rao, pp. 547–552. North-Holland, Amsterdam (1982)",{"id":28,"text":1976,"url":28,"identifiers":28},"Schwab, R.W.: Stochastic homogenization for some nonlinear integro-differential equations. Preprint, arXiv:1101.6052 [math.AP] (2011)",{"id":1978,"createTime":1979,"updateTime":1980,"relativeEntities":1981,"slug":1982,"properties":1983,"entityType":1017,"verifyStatus":26,"verifyTime":1980,"verifyNote":1018,"languages":28,"translateLanguages":28,"viewCount":32,"primaryUrl":1992,"fullTextUrl":28,"authors":1993,"publicationType":1068,"publisherRelationship":2052,"citationCount":28,"citationInfo":28,"publishDate":2104,"publishYear":2105,"citationAnalyzeStatus":880,"lastCitationAnalyze":28,"indexDatabases":2106,"openAccess":28,"references":28,"isForceReanalyzing":1126},"013034b2-63a9-4efe-aef3-330840fe9b97","2024-02-20T01:42:53.195+00:00","2025-02-16T08:10:20.975+00:00",[],"A-theoretical-investigation-of-Brockett-s-ensemble-optimal-control-problems",{"abstract":1984,"title":1986,"references":1988,"doi":1990},{"EN":1985},"This paper is devoted to the analysis of problems of optimal control of ensembles governed by the Liouville (or continuity) equation. The formulation and study of these problems have been put forward in recent years by R.W. Brockett, with the motivation that ensemble control may provide a more general and robust control framework. Following Brockett’s formulation of ensemble control, a Liouville equation with unbounded drift function, and a class of cost functionals that include tracking of ensembles and different control costs is considered. For the theoretical investigation of the resulting optimal control problems, a well-posedness theory in weighted Sobolev spaces is presented for the Liouville and transport equations. Then, a class of non-smooth optimal control problems governed by the Liouville equation is formulated and existence of optimal controls is proved. Furthermore, optimal controls are characterised as solutions to optimality systems; such a characterisation is the key to get (under suitable assumptions) also uniqueness of optimal controls.\n",{"EN":1987},"A theoretical investigation of Brockett’s ensemble optimal control problems",{"VOID":1989},"Ambrosio, L.: Transport equation and Cauchy problem for \\(BV\\) vector fields. Invent. Math. 158, 227–260 (2004)\nAmbrosio, L., Crippa, G.: Existence, uniqueness, stability and differentiability properties of the flow associated to weakly differentiable vector fields. In: Transport Equations and Multi-D Hyperbolic Conservation Laws, vol. 5 of Lect. Notes Unione Mat. Ital. Springer, Berlin, pp. 3–57 (2008)\nAmbrosio, L., Crippa, G.: Continuity equations and ODE flows with non-smooth velocity. Proc. R. Soc. Edinb. Sect. A 144, 1191–1244 (2014)\nBahouri, H., Chemin, J.-Y., Danchin, R.: Fourier Analysis and Nonlinear Partial Differential Equations. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 343. Springer, Heidelberg (2011)\nBarbu, V., Precupanu, T.: Convexity and optimization in Banach Spaces. Springer Monographs in Mathematics, 4th edn. Springer, Dordrecht (2012)\nBenzoni-Gavage, S., Serre, D.: Multidimensional Hyperbolic Partial Differential Equations. Oxford Mathematical Monographs. The Clarendon Press, Oxford University Press, Oxford (2007). First-order systems and applications\nBrezis, H.: Functional Analysis. Sobolev Spaces and Partial Differential Equations. Universitext, Springer, New York (2011)\nBrockett, R.W.: Minimum attention control. In: Proceedings of the 36th IEEE Conference on Decision and Control, vol. 3. IEEE, pp. 2628–2632 (1997)\nBrockett, R.W.: Optimal control of the Liouville equation. In: Proceedings of the International Conference on Complex Geometry and Related Fields, vol. 39 of AMS\u002FIP Stud. Adv. Math., Amer. Math. Soc., Providence, RI, pp. 23–35 (2007)\nBrockett, R.W.: Notes on the control of the Liouville equation. In: Control of Partial Differential Equations, vol. 2048 of Lecture Notes in Math. Springer, Heidelberg, pp. 101–129 (2012)\nCandès, E.J., Romberg, J.K., Tao, T.: Stable signal recovery from incomplete and inaccurate measurements. Commun. Pure Appl. Math. 59, 1207–1223 (2006)\nCavagnari, G., Marigonda, A., Piccoli, B.: Averaged time-optimal control problem in the space of positive Borel measures. ESAIM Control Optim. Calc. Var. 24, 721–740 (2018)\nCercignani, C.: Mathematical Methods in Kinetic Theory. Plenum Press, New York (1969)\nCiaramella, G., Borzì, A.: Quantum optimal control problems with a sparsity cost functional. Numer. Funct. Anal. Optim. 37, 938–965 (2016)\nCockshott, P., Zachariah, D.: Conservation laws, financial entropy and the eurozone crisis. Economics 8, 1–55 (2014-5)\nColonna, G., D’Angola, A.: Plasma Modeling: Methods and Applications. IOP Publishing, New York (2016)\nCrippa, G.: The flow associated to weakly differentiable vector fields, vol. 12 of Tesi. Scuola Normale Superiore di Pisa (Nuova Series) [Theses of Scuola Normale Superiore di Pisa (New Series)], Edizioni della Normale, Pisa (2009)\nDiPerna, R.J., Lions, P.-L.: Ordinary differential equations, transport theory and Sobolev spaces. Invent. Math. 98, 511–547 (1989)\nFeireisl, E., Novotný, A.: Singular Limits in Thermodynamics of Viscous Fluids. Advances in Mathematical Fluid Mechanics. Birkhäuser, Basel (2009)\nLions, J.-L.: Optimal control of systems governed by partial differential equations. Translated from the French by S. K. Mitter. Die Grundlehren der mathematischen Wissenschaften, Band 170. Springer, New York-Berlin (1971)\nMétivier, G.: Para-differential calculus and applications to the Cauchy problem for nonlinear systems, vol. 5 of Centro di Ricerca Matematica Ennio De Giorgi (CRM) Series. Edizioni della Normale, Pisa (2008)\nRisken, H.: The Fokker–Planck Equation. Methods of Solution and Applications. Springer Series in Synergetics, vol. 18, 2nd edn. Springer, Berlin (1989)\nStadler, G.: Elliptic optimal control problems with \\(L^1\\)-control cost and applications for the placement of control devices. Comput. Optim. Appl. 44, 159–181 (2009)\nTröltzsch, F.: Optimal Control of Partial Differential Equations. Graduate Studies in Mathematics, vol. 112. American Mathematical Society, Providence, RI. Theory, methods and applications, Translated from the 2005 German original by Jürgen Sprekels (2010)",{"VOID":1991},"10.1007\u002Fs00526-019-1604-2","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs00526-019-1604-2",[1994,2009,2022,2037],{"id":1995,"sortIndex":32,"researcher":28,"roles":1996,"affiliations":1997,"properties":2006,"displayName":2008,"givenName":28,"familyName":28},"6fd00897-2867-460c-84fb-3d8a5f87c8ce",[1025],[1998],{"id":1999,"sortIndex":32,"affiliation":2000,"properties":28},"45ae3a9a-b69f-4fe6-bc5a-6701becd22f5",{"id":1999,"createTime":28,"updateTime":28,"relativeEntities":2001,"slug":28,"properties":2002,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":2005,"statistic":28},[],{"title":2003},{"VI":2004},"Institut für Mathematik, Universität Würzburg, Würzburg, Germany",[],{"title":2007},{"VI":2008},"Jan 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