Large Data Existence Result for Unsteady Flows of Inhomogeneous Shear-Thickening Heat-Conducting Incompressible Fluids

被引：26

作者：

Frehse, Jens ^{[2
]}

Malek, Josef ^{[1
,3
]}

Ruzicka, Michael ^{[4
]}

机构：

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

[2] Univ Bonn, Inst Appl Math, D-5300 Bonn, Germany

[3] Acad Sci Czech Republic, Inst Thermomech, Prague, Czech Republic

[4] Univ Freiburg, Inst Appl Math, Freiburg, Germany

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2010年 / 35卷 / 10期

关键词：

Generalized Navier-Stokes-Fourier system; Heat-conducting fluid; Incompressible fluid; Inhomogeneous fluid; Large data; Long-time existence; Shear-rate dependent viscosity; Temperature dependent viscosity; Weak solution; GENERALIZED NEWTONIAN FLUIDS; RATE-DEPENDENT VISCOSITY; LIPSCHITZ-DOMAINS; WEAK SOLUTIONS; EQUATIONS; PRESSURE; DENSITY; SLIP;

D O I：

10.1080/03605300903380746

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider unsteady flows of inhomogeneous, incompressible, shear-thickening and heat-conducting fluids where the viscosity depends on the density, the temperature and the shear rate, and the heat conductivity depends on the temperature and the density. For any values of initial total mass and initial total energy we establish the long-time existence of weak solution to internal flows inside an arbitrary bounded domain with Lipschitz boundary.

引用

页码：1891 / 1919

页数：29

共 22 条

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