On perturbations of solutions to the Navier-Stokes equations with large initial data and their dynamics

被引：2

作者：

Kucera, P. ^{[2
]}

Neustupa, J. ^{[1
]}

机构：

[1] Acad Sci Czech Republic, Inst Math, CR-11567 Prague 1, Czech Republic

[2] Czech Tech Univ, Fac Civil Engn, Prague 16629 6, Czech Republic

来源：

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

关键词：

Navier-Stokes equations; Stokes operator;

D O I：

10.1016/j.na.2009.06.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a theorem on stability of a strong solution of the Navier-Stokes equation with respect to perturbation of the initial velocity in the norm of D(A(1/4)) (where A is the Stokes operator) and also with respect to certain perturbations of the acting body force. The theorem is applied to obtain new results on the dynamics of solutions of the Navier-Stokes equations. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：E2690 / E2695

页数：6

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