WEAK SOLUTIONS TO EQUATIONS OF STEADY COMPRESSIBLE HEAT CONDUCTING FLUIDS

被引：28

作者：

Mucha, Piotr B. ^{[1
]}

Pokorny, Milan ^{[2
]}

机构：

[1] Univ Warsaw, Inst Appl Math & Mech, PL-02097 Warsaw, Poland

[2] Charles Univ Prague, Math Inst, Prague 18675, Czech Republic

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2010年 / 20卷 / 05期

关键词：

Steady compressible Navier-Stokes-Fourier equations; slip boundary conditions; Dirichlet boundary conditions; weak solutions; large data; NAVIER-STOKES EQUATIONS; EXISTENCE;

D O I：

10.1142/S0218202510004441

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the steady compressible Navier-Stokes-Fourier system in a bounded three-dimensional domain. We prove the existence of a solution for arbitrarily large data under the assumption that the pressure p(rho,theta) similar to rho theta + rho(gamma) for gamma > 7/3, assuming either the slip or no-slip boundary condition for the velocity and the Newton boundary condition for the temperature. The regularity of solutions is determined by the basic energy estimates, constructed for the system.

引用

页码：785 / 813

页数：29

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