On the regularity of two-dimensional unsteady flows of heat-conducting generalized Newtonian fluids

被引：6

作者：

Bulicek, Miroslav ^{[1
]}

Malek, Josef ^{[1
]}

Shilkin, Timofei Nikolaevich ^{[2
,3
]}

机构：

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

[2] VA Steklov Math Inst, St Petersburg 191023, Russia

[3] St Petersburg State Univ, Dept Math & Mech, St Petersburg 198504, Russia

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2014年 / 19卷

关键词：

Regularity; Heat-conducting fluid; Power-law like fluid; Generalized Navier-Stokes-Fourier fluid; Ladyzhenskaya system; EQUATIONS;

D O I：

10.1016/j.nonrwa.2014.03.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study regularity properties of unsteady flows of an incompressible heat-conducting fluid in a two-dimensional spatially periodic setting. Under certain structural assumptions on the Cauchy stress that include generalizations of the Ladyzhenskaya or power-law like models we establish the existence of a classical solution to such problems. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：89 / 104

页数：16

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