Remarks on upper and lower bounds of solutions to the Navier-Stokes equations in R2

被引：4

作者：

Dong, Bo-Qing ^{[1
]}

Chen, Zhi-Min

机构：

[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China

[2] Univ Southampton, Sch Engn Sci Ship Sci, Southampton SO17 1BJ, Hants, England

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 182卷 / 01期

关键词：

Navier-Stokes equations; L-2; decay; upper and lower bounds;

D O I：

10.1016/j.amc.2006.04.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the study of long time asymptotic behaviors of the solutions of the two-dimensional Navier-Stokes equations in the whole space, some optimal upper and lower bounds for the decay of higher order derivatives of the solutions are derived through a simple approach without assuming any decay properties of the solutions. This method is mainly based on some auxiliary decay estimates of the solutions and a generalized Gronwall type argument. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：553 / 558

页数：6

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