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
收藏
页码：239 / 253
页数：15
相关论文
共 50 条
12345