Inhomogeneous boundary value problems for compressible Navier-Stokes and transport equations

被引：22

作者：

Plotnikov, P. I. ^{[1
]}

Ruban, E. V. ^{[1
]}

Sokolowski, J. ^{[2
]}

机构：

[1] Russian Acad Sci, Lavryentyev Inst Hydrodynam, Siberian Div, Novosibirsk 630090, Russia

[2] Univ Nancy 1, Inst Elie Cartan, Math Lab, F-54506 Vandoeuvre Les Nancy, France

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2009年 / 92卷 / 02期

关键词：

Compressible Navier-Stokes equations; Transport equations; Bergman projection; Incompressible limit; INCOMPRESSIBLE LIMIT;

D O I：

10.1016/j.matpur.2009.02.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper compressible, stationary Navier-Stokes equations are considered. A framework for analysis of such equations is established. The well-posedness for inhomogeneous boundary value problems of elliptic-hyperbolic type is shown. (C) 2009 Elsevier Masson SAS. All rights reserved.

引用

页码：113 / 162

页数：50

共 33 条

[1]

Adams R., 2003, Pure and Applied Mathematics, V140

[2]

[Anonymous], 1976, GRUNDLEHREN MATH WIS

[3]

[Anonymous], ARCH RATIONAL MECH A

[4]

[Anonymous], 2 ORDER EQUATION NON

[5]

Axler S, 2001, Graduate Texts in Mathematics series, VSecond

[6]

DAVEIGA HB, 1987, HOUSTON J MATH, V13, P527

[7] Incompressible limit for solutions of the isentropic Navier-Stokes equations with Dirichlet boundary conditions [J].

Desjardins, B ;

Grenier, E ;

Lions, PL ;

Masmoudi, N .

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1999, 78 (05) :461-471

[8]

Feireisl E., 2004, Dynamics of Viscous Compressible Fluids

[9]

[Файрайзл Эдуард Feireisl Eduard], 2007, [Успехи математических наук, Russian Mathematical Surveys, Uspekhi matematicheskikh nauk], V62, P169, DOI 10.4213/rm6803

[10]

Fichera G., 1956, ATTI ACCAD NAZ SFMN, V5, P30

← 1 2 3 4 →