Global solution to inhomogeneous incompressible Navier-Stokes equations on thin domain

被引:2
作者
Wang, Shifang [1 ]
机构
[1] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China
关键词
Inhomogeneous incompressible; Navier-Stokes equations; Thin domain; Global strong solution; REGULARITY;
D O I
10.1016/j.jmaa.2019.123556
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider the inhomogeneous incompressible Navier-Stokes equations on thin domains R-2 x epsilon T. It is shown that when the vertical size epsilon is sufficiently small, there exists a unique global strong solution to the initial value problem with relatively large data. (C) 2019 Elsevier Inc. All rights reserved.
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页数:11
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