On the Existence of the Pressure for Solutions of the Variational Navier-Stokes Equations

被引：38

作者：

Simon, Jacques ^{[1
]}

机构：

[1] Univ Blaise Pascal, CNRS, Lab Math Appl, UMR 6620, F-63177 Aubiere 2, France

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 1999年 / 1卷 / 03期

关键词：

Navier-Stokes; pressure; strong solutions; variational solutions;

D O I：

10.1007/s000210050010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that in general it is not possible to associate a pressure field to the velocity field of a weak solution of the Navier-Stokes equations, if the body force has values in the space V'.

引用

页码：225 / 234

页数：10

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