Inhomogeneous Incompressible Navier-Stokes Equations on Thin Domains

被引：0

作者：

Sun, Yongzhong ^{[1
]}

Wang, Shifang ^{[1
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICS AND STATISTICS | 2020年 / 8卷 / 02期

关键词：

Inhomogeneous incompressible Navier-Stokes equation; Thin domain limit; Dimensional reduction; Relative energy; WEAK-STRONG UNIQUENESS;

D O I：

10.1007/s40304-019-00202-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the inhomogeneous incompressible Navier-Stokes equation on thin domains T-2 x epsilon T, epsilon -> 0. It is shown that the weak solutions on T-2 x epsilon T converge to the strong/weak solutions of the 2D inhomogeneous incompressible Navier-Stokes equations on T-2 as epsilon -> 0 on arbitrary time interval.

引用

页码：239 / 253

页数：15

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