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

被引：73

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

共 50 条

[1] On the existence of global weak solutions to the Navier-Stokes equations for viscous compressible and heat conducting fluids
Bresch, Didier
Desjardins, Benoit
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2007, 87 (01): : 57 - 90
[2] GLOBAL WEAK SOLUTIONS TO COMPRESSIBLE NAVIER-STOKES EQUATIONS FOR QUANTUM FLUIDS
Juengel, Ansgar
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2010, 42 (03) : 1025 - 1045
[3] Weak solutions of the compressible isentropic Navier-Stokes equations
Desjardins, B
APPLIED MATHEMATICS LETTERS, 1999, 12 (07) : 107 - 111
[4] Regularity of weak solutions of the compressible Navier-Stokes equations
Choe, HJ
Jin, BJ
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2003, 40 (06) : 1031 - 1050
[5] Weak Solutions to the Stationary Cahn-Hilliard/Navier-Stokes Equations for Compressible Fluids
Liang, Zhilei
Wang, Dehua
JOURNAL OF NONLINEAR SCIENCE, 2022, 32 (04)
[6] Weak solutions to the Navier-Stokes equations for steady compressible non-Newtonian fluids
Burtea, Cosmin
Szlenk, Maja
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2025, 255
[7] Global solutions of the Navier-Stokes equations for viscous compressible flows
Wang, DH
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 52 (08) : 1867 - 1890
[8] A new construction of weak solutions to compressible Navier-Stokes equations
Chaudhuri, Nilasis
Mucha, Piotr B.
Zatorska, Ewelina
MATHEMATISCHE ANNALEN, 2024, 390 (02) : 1669 - 1729
[9] Energy Conservation for the Weak Solutions of the Compressible Navier-Stokes Equations
Yu, Cheng
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2017, 225 (03) : 1073 - 1087
[10] Stochastic Navier-Stokes Equations for Compressible Fluids
Breit, Dominic
Hofmanova, Martina
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2016, 65 (04) : 1183 - 1250

← 1 2 3 4 5 →