Regularity in Sobolev spaces of steady flows of fluids with shear-dependent viscosity

被引：17

作者：

Ebmeyer, Carsten ^{[1
]}

机构：

[1] Univ Bonn, Math Seminar, D-53115 Bonn, Germany

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2006年 / 29卷 / 14期

关键词：

non-Newtonian fluid flow; shear thinning fluid; power-law fluid; no-stick condition; p-Laplacian; difference quotient;

D O I：

10.1002/mma.748

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The system -divS(D(u)) + (u-del)u+del pi=f, div u=0 is considered on a bounded three-dimensional domain under no-stick boundary value conditions, where S has p-structure for some p < 2 and D(u) is the symmetrized gradient of u. Various regularity results for the velocity u and the pressure pi in fractional order Sobolev and Nikolskii spaces are obtained. Copyright (c) 2006 John Wiley & Sons, Ltd.

引用

页码：1687 / 1707

页数：21

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