Regularity of flows of a non-Newtonian fluid subject to Dirichlet boundary conditions

被引：0

作者：

Kaplicky, P ^{[1
]}

机构：

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

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2005年 / 24卷 / 03期

关键词：

generalized Newtonian fluid; initial boundary value problem; regularity; C-1; C-alpha solutions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a planar flow of a generalized Newtonian fluid under the Dirichlet boundary condition. The fluid is characterized by a nonlinear dependence of the stress tensor on the symmetric part of the velocity gradient. We prove that the unique weak solution of this problem has a Holder continuous gradient provided the growth of the stress tensor is of order p - 1 for a certain p E (2, 4). The result is global in time and in space.

引用

页码：467 / 486

页数：20

共 24 条

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