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
收藏
页码：225 / 234
页数：10
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