Suitable Weak Solutions to the Navier-Stokes Equations of Compressible Viscous Fluids

被引：72

作者：

Feireisl, Eduard ^{[1
]}

Novotny, Antonin ^{[2
]}

Sun, Yongzhong ^{[3
]}

机构：

[1] Acad Sci Czech Republ, Inst Math, CR-11567 Prague 1, Czech Republic

[2] Univ S Toulon Var, IMATH, F-83957 La Garde, France

[3] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2011年 / 60卷 / 02期

关键词：

compressible Navier-Stokes system; weak-strong uniqueness; suitable weak solutions; BLOW-UP CRITERION; EXISTENCE; REGULARITY; UNIQUENESS;

D O I：

10.1512/iumj.2011.60.4406

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a class of suitable weak solutions to the Navier-Stokes system of equations governing the motion of a compressible viscous fluid. These solutions satisfy the relative entropy inequality introduced by several authors, and, in particular, they enjoy the weak-strong uniqueness property.

引用

页码：611 / 631

页数：21

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