On the decay of higher-order norms of the solutions of Navier-Stokes equations

被引：144

作者：

Schonbek, ME ^{[1
]}

Wiegner, M ^{[1
]}

机构：

[1] UNIV BAYREUTH,DEPT MATH,D-95440 BAYREUTH,GERMANY

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1996年 / 126卷

关键词：

D O I：

10.1017/S0308210500022976

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that an energy decay \\u(t)\\(2) = 0(t(-mu)) for Solutions of the Navier-Stokes equations on R(n), n less than or equal to 5, implies a decay of the higher order norms, e.g. \\D(alpha)u(t)\\(2) = O(t(-mu-\alpha\/2)) and \\u(t)\\(infinity) = O(t(-mu-mu/4)).

引用

页码：677 / 685

页数：9

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