Decay of solutions for 2D Navier-Stokes equations posed on Lipschitz and smooth bounded and unbounded domains

被引：5

作者：

Larkin, N. A. ^{[1
]}

Padilha, M., V ^{[1
]}

机构：

[1] Univ Estadual Maringa, Dept Matemat, Agencia UEM, Av Colombo 5790, BR-87020900 Maringa, Parana, Brazil

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年 / 266卷 / 11期

关键词：

Navier-Stokes equations; Lipschitz and smooth domains; Decay in bounded and unbounded domains; ASYMPTOTIC-BEHAVIOR;

D O I：

10.1016/j.jde.2018.12.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Initial-boundary value problems for 2D Navier-Stokes equations posed on bounded and unbounded rectangles as well as on bounded and unbounded smooth domains were considered. The existence and uniqueness of regular global solutions in bounded rectangles and bounded smooth domains as well as exponential decay of solutions on bounded and unbounded domains were established. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：7545 / 7568

页数：24

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