On non-Newtonian Fluids with Energy Transfer

被引：5

作者：

Roubicek, T. ^{[1
,2
]}

机构：

[1] Charles Univ Prague, Math Inst, CZ-18675 Prague 8, Czech Republic

[2] Acad Sci Czech Republic, Inst Informat Theory & Automat, CZ-18208 Prague, Czech Republic

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2009年 / 11卷 / 01期

关键词：

Navier-Stokes equation; heat equation; enthalpy transformation; very weak solution; existence; Galerkin approximation; PARABOLIC EQUATIONS;

D O I：

10.1007/s00021-007-0250-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The model combining incompressible Navier-Stokes' equation in a non-Newtonian p-power-law modification and the nonlinear heat equation is considered. Existence of its (very) weak solutions is proved for p > 11/5 under mild assumptions of the temperature-dependent stress tensor by careful successive limit passage in a Galerkin approximation.

引用

页码：110 / 125

页数：16

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