Uniqueness criterion of weak solutions to the stationary Navier-Stokes equations in exterior domains

被引：40

作者：

Kozono, H ^{[1
]}

Yamazaki, M

机构：

[1] Nagoya Univ, Grad Sch Polymath, Nagoya, Aichi 46401, Japan

[2] Hitotsubashi Univ, Dept Math, Kunitachi, Tokyo 186, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 1999年 / 38卷 / 08期

关键词：

weak L-p spaces; real interpolation; solenoidal vector fields; energy inequality;

D O I：

10.1016/S0362-546X(98)00145-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This study demonstrates a new uniqueness criterion on weak solutions of the stationary Navier-Stokes equation in exterior domains. In particular, a boundary-value problem for the stationary Navier-Stokes equations in ω is considered. The main theorem is stated and proven.

引用

页码：959 / 970

页数：12

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