On the stability of global solutions to Navier-Stokes equations in the space

被引：38

作者：

Auscher, P

Dubois, S

Tchamitchian, P

机构：

[1] Fac Sci & Tech St Jerome, CNRS, UMR 6632, Lab Anal Topol & Probabil, F-13397 Marseille, France

[2] Univ Paris 11, CNRS, UMR 8628, Math Lab, F-91405 Orsay, France

[3] Univ Picardie, Fac Math Informat, CNRS, UMR 6140,Lab Amienois Math Fondamentale & Appl, F-89039 Amiens, France

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2004年 / 83卷 / 06期

关键词：

Navier-Stokes equations; asymptotics; stability;

D O I：

10.1016/j.matpur.2004.01.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the global solutions to the Navier-Stokes equations in R-3 with data in VMO-1 which belong to the space defined by Koch and Tataru are stable, in the sense that they vanish at infinity (in time), that they depend analytically on their data, and that the set of Cauchy data giving rise to such a solution is open in the BMO-1 topology. We then study the case of more regular data. (C) 2004 Elsevier SAS. All rights reserved.

引用

页码：673 / 697

页数：25

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