MEASURE-VALUED SOLUTIONS OF THE EULER AND NAVIER-STOKES EQUATIONS FOR COMPRESSIBLE BAROTROPIC FLUIDS

被引：30

作者：

NEUSTUPA, J

机构：

[1] UNIV WURZBURG, W-8700 WURZBURG, GERMANY

[2] TH DARMSTADT, W-6100 DARMSTADT, GERMANY

来源：

MATHEMATISCHE NACHRICHTEN | 1993年 / 163卷

关键词：

D O I：

10.1002/mana.19931630119

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The notion of a measure-valued solution for the Euler and the Navier-Stokes equations is introduced and its global in time existence is proved.

引用

下载

页码：217 / 227

页数：11

共 50 条

[1] Dissipative measure-valued solutions to the compressible Navier-Stokes system
Feireisl, Eduard
Gwiazda, Piotr
Swierczewska-Gwiazda, Agnieszka
Wiedemann, Emil
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2016, 55 (06)
[2] Measure-valued solutions of the Euler equations for ideal compressible polytropic fluids
Kroner, D
Zajaczkowski, WM
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1996, 19 (03) : 235 - 252
[3] Analyticity of solutions to the barotropic compressible Navier-Stokes equations
Bae, Hantaek
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 269 (02) : 1718 - 1743
[4] Dissipative measure-valued solutions to the compressible Navier–Stokes system
Eduard Feireisl
Piotr Gwiazda
Agnieszka Świerczewska-Gwiazda
Emil Wiedemann
Calculus of Variations and Partial Differential Equations, 2016, 55
[5] On the barotropic compressible Navier-Stokes equations
Mellet, A.
Vasseur, A.
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2007, 32 (03) : 431 - 452
[6] Vanishing viscosity limit for the compressible Navier-Stokes system via measure-valued solutions
Basaric, Danica
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2020, 27 (06):
[7] A remark on weak solutions to the barotropic compressible quantum Navier-Stokes equations
Jiang, Fei
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (03) : 1733 - 1735
[8] Regularity of solutions to the Navier-Stokes equations for compressible barotropic flows on a polygon
Kweon, JR
Kellogg, RB
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2002, 163 (01) : 35 - 64
[9] Regularity of Solutions to the Navier-Stokes Equations for Compressible Barotropic Flows on a Polygon
Jae Ryong Kweon
R. Bruce Kellogg
Archive for Rational Mechanics and Analysis, 2002, 163 : 35 - 64
[10] On the domain dependence of solutions to the compressible Navier-Stokes equations of a barotropic fluid
Feireisl, E
Novotny, A
Petzeltová, H
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2002, 25 (12) : 1045 - 1073

← 1 2 3 4 5 →