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.
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页码：785 / 813
页数：29
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