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Tính chất đều đặn của phương trình Navier-Stokes nén được với tính bất biến xê-năng hình trụ
Tóm tắt
Bài báo này đề cập đến tính chất đều đặn của các nghiệm toàn cục trong không gian
$H^{4}$
đối với các phương trình Navier-Stokes nén với tính bất biến xê-năng hình trụ trong
$R^{3}$
. Một miền hình trụ đồng tâm hình tròn là một miền không bị giới hạn, nhưng chúng tôi giả định rằng nghiệm tương ứng chỉ phụ thuộc vào một biến bán kính, r trong
$G=\{r\in R^{+},0< a\leq r\leq b<+\infty\}$
, trong đó miền liên quan G là một miền bị giới hạn. Một số ý tưởng mới và các ước lượng tinh vi hơn được đưa ra để chứng minh những kết quả này.
Từ khóa
#Navier-Stokes #nén được #tính bất biến xê-năng #miền hình trụ #nghiệm toàn cụcTài liệu tham khảo
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