Chinese Annals of Mathematics, Series B

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The rain on underground porous media Part I: Analysis of a richards model
Chinese Annals of Mathematics, Series B - Tập 34 - Trang 193-212 - 2013
Christine Bernardi, Adel Blouza, Linda El Alaoui
The Richards equation models the water flow in a partially saturated underground porous medium under the surface. When it rains on the surface, boundary conditions of Signorini type must be considered on this part of the boundary. The authors first study this problem which results into a variational inequality and then propose a discretization by an implicit Euler’s scheme in time and finite eleme...... hiện toàn bộ
Stochastic fractional Anderson models with fractional noises
Chinese Annals of Mathematics, Series B - Tập 31 - Trang 101-118 - 2009
Yiming Jiang, Kehua Shi, Yongjin Wang
The authors are concerned with a class of one-dimensional stochastic Anderson models with double-parameter fractional noises, whose differential operators are fractional. A unique solution for the model in some appropriate Hilbert space is constructed. Moreover, the Lyapunov exponent of the solution is estimated, and its Hölder continuity is studied. On the other hand, the absolute continuity of t...... hiện toàn bộ
Existence of nontrivial solutions for p-Laplacian variational inclusion systems in ℝ N
Chinese Annals of Mathematics, Series B - Tập 32 - Trang 619-630 - 2011
Zifei Shen, Songqiang Wan
The authors study the existence of nontrivial solutions to p-Laplacian variational inclusion systems $\left\{ \begin{gathered} - \Delta _p u + \left| u \right|^{p - 2} u \in \partial _1 F\left( {u,v} \right), in \mathbb{R}^N , \hfill \\ - \Delta _p v + \left| v \right|^{p - 2} v \in \partial _2 F\left( {u,v} \righ...... hiện toàn bộ
Boundedness and Almost Periodicity of Solutions for a Class of Semilinear Parabolic Equations with Boundary Degeneracy
Chinese Annals of Mathematics, Series B - Tập 41 - Trang 303-324 - 2020
Yi Xie, Peidong Lei
In this paper the authors investigate the boundedness and almost periodicity of solutions of semilinear parabolic equations with boundary degeneracy. The equations may be weakly degenerate or strongly degenerate on the lateral boundary. The authors prove the existence, uniqueness and global exponential stability of bounded entire solutions, and also establish the existence theorem of almost period...... hiện toàn bộ
Asymptotic results for tail probabilities of sums of dependent and heavy-tailed random variables
Chinese Annals of Mathematics, Series B - Tập 33 - Trang 557-568 - 2012
Kam Chuen Yuen, Chuancun Yin
Let X 1,X 2, ... be a sequence of dependent and heavy-tailed random variables with distributions F 1, F 2, ... on (−∞,∞), and let τ be a nonnegative integer-valued random variable independent of the sequence {X k , k ≥ 1}. In this framework, the asymptotic behavior of the tail probabi...... hiện toàn bộ
Biến hình f-Harmonic giữa các đa tạp Riemann Dịch bởi AI
Chinese Annals of Mathematics, Series B - Tập 35 - Trang 225-236 - 2014
Yelin Ou
Các bản đồ f-Harmonic lần đầu tiên được giới thiệu và nghiên cứu bởi Lichnerowicz vào năm 1970. Trong bài báo này, tác giả nghiên cứu một phân lớp của các bản đồ f-harmonic gọi là các biến hình f-harmonic, có khả năng kéo ngược các hàm hài hòa địa phương thành các hàm f-harmonic địa phương. Tác giả chứng minh rằng một bản đồ giữa các đa tạp Riemann là một biến hình f-harmonic nếu ...... hiện toàn bộ
#f-harmonic #Riemannian manifold #morphism #harmonicity #conformal immersion
Structural Properties of Homomorphism Dilation Systems
Chinese Annals of Mathematics, Series B - Tập 41 Số 4 - Trang 585-600 - 2020
Han, Deguang, Larson, David R., Liu, Bei, Liu, Rui
Inspired by some recent development on the theory about projection valued dilations for operator valued measures or more generally bounded homomorphism dilations for bounded linear maps on Banach algebras, the authors explore a pure algebraic version of the dilation theory for linear systems acting on unital algebras and vector spaces. By introducing two natural dilation structures, namely the can...... hiện toàn bộ
Symmetries and their lie algebra of a variable coefficient Korteweg-de Vries hierarchy
Chinese Annals of Mathematics, Series B - Tập 37 - Trang 543-552 - 2016
Xiaoying Zhu, Dajun Zhang
Isospectral and non-isospectral hierarchies related to a variable coefficient Painlevé integrable Korteweg-de Vries (KdV for short) equation are derived. The hierarchies share a formal recursion operator which is not a rigorous recursion operator and contains t explicitly. By the hereditary strong symmetry property of the formal recursion operator, the authors construct two sets of symmetries and ...... hiện toàn bộ
On a Lotka-Volterra Competition Diffusion Model with Advection
Chinese Annals of Mathematics, Series B - Tập 42 - Trang 891-908 - 2021
Qi Wang
In this paper, the author focuses on the joint effects of diffusion and advection on the dynamics of a classical two species Lotka-Volterra competition-diffusion-advection system, where the ratio of diffusion and advection rates are supposed to be a positive constant. For comparison purposes, the two species are assumed to have identical competition abilities throughout this paper. The results exp...... hiện toàn bộ
Quasi-sure flows associated with vector fields of low regularity
Chinese Annals of Mathematics, Series B - Tập 35 - Trang 51-68 - 2014
Siyan Xu, Hua Zhang
The authors construct a solution U t (x) associated with a vector field on the Wiener space for all initial values except in a 1-slim set and obtain the 1-quasi-sure flow property where the vector field is a sum of a skew-adjoint operator not necessarily bounded and a nonlinear part with low regularity, namely one-fold differentiability. Besides, ...... hiện toàn bộ
Tổng số: 754   
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