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).
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页码：43 / 54
页数：12
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