Asymptotic behavior for the Navier-Stokes equations with nonzero external forces

被引：2

作者：

Bae, Hyeong-Ohk ^{[1
]}

Brandolese, Lorenzo ^{[2
]}

Jin, Bum Ja ^{[3
]}

机构：

[1] Ajou Univ, Dept Math, Suwon 443749, South Korea

[2] Univ Lyon 1, Inst Camille Jordan, CNRS, UMR 5208, F-69622 Villeurbanne, France

[3] Mokpo Nat Univ, Dept Math, Mokpo, South Korea

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期

关键词：

Heat solution; Stokes equations; Navier-Stokes; Temporal-spatial decay; Upper bound; Lower bound; Weights; External force; WEAK SOLUTIONS; EXTERIOR DOMAINS; L2; DECAY; SPATIAL DECAYS; SPACES; RN;

D O I：

10.1016/j.na.2008.10.074

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We estimate the asymptotic behavior for the Stokes solutions, with external forces first. We found that if there are external forces, then the energy decays slowly even if the forces decay quickly. Then, we also obtain the asymptotic behavior in the temporal-spatial direction for weak solutions of the Navier-Stokes equations. We also provide a simple example of external forces which shows that the Stokes solution does not decay quickly. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：E292 / E302

页数：11

共 24 条

[1] Temporal and spatial decays for the Navier-Stokes equations [J].