Strong solutions to the Navier-Stokes-Fourier system with slip-inflow boundary conditions

被引：16

作者：

Piasecki, Tomasz ^{[1
]}

Pokorny, Milan ^{[2
]}

机构：

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

[2] Charles Univ Prague, Fac Math & Phys, Math Inst, Prague 18675 8, Czech Republic

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2014年 / 94卷 / 12期

关键词：

Steady Navier-Stokes-Fourier system; inflow boundary conditions; strong solution; small data; COMPRESSIBLE FLUIDS; DIFFERENTIAL-EQUATIONS; WEAK SOLUTIONS; EXISTENCE; DOMAIN; FLOWS; PIPE;

D O I：

10.1002/zamm.201300014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a system of partial differential equations describing the steady flow of a compressible heat conducting Newtonian fluid in a three-dimensional channel with inflow and outflow part. We show the existence of a strong solution provided the data are close to a constant, but nontrivial flow with sufficiently large dissipation in the energy equation. (C) 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：1035 / 1057

页数：23