Global Existence of Solutions for Shear Flow of Certain Viscoelastic Fluids

被引：13

作者：

Renardy, Michael ^{[1
]}

机构：

[1] Virginia Tech, Dept Math, Blacksburg, VA 24061 USA

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2009年 / 11卷 / 01期

基金：

美国国家科学基金会;

关键词：

Viscoelastic flow; global existence;

D O I：

10.1007/s00021-007-0249-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the global existence in time of solutions to time-dependent shear flows for certain viscoelastic fluids. The essential point in the proof is an a priori estimate for the shear stress. Positive definiteness constraints for the stress play a crucial role in obtaining such estimates.

引用

页码：91 / 99

页数：9

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