Stationary Flows of Shear Thickening Fluids in 2D

被引：14

作者：

Fuchs, Martin ^{[1
]}

机构：

[1] Univ Saarland, Fachbereich Math 6 1, D-66041 Saarbrucken, Germany

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2012年 / 14卷 / 01期

关键词：

Generalized Newtonian fluids; equations of Navier-Stokes type; steady flows; non-uniformly elliptic systems; Korn inequalities in Orlicz spaces; DEPENDENT VISCOSITY; REGULARITY THEORY;

D O I：

10.1007/s00021-010-0044-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the steady flow of a shear thickening generalized Newtonian fluid under homogeneous boundary conditions on a domain in R-2. We assume that the stress tensor is generated by a potential of the form H = h(|epsilon( u)|), epsilon(u) denoting the symmetric part of the velocity gradient. We prove the existence of strong solutions for a large class of functions h having the property that h'(t)/t increases (shear thickening case).

引用

页码：43 / 54

页数：12

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