Global Existence of Solutions for Shear Flow of Certain Viscoelastic Fluids

被引：0

作者：

Michael Renardy

机构：

[1] Virginia Tech,Department of Mathematics

来源：

Journal of Mathematical Fluid Mechanics | 2009年 / 11卷

关键词：

Primary 76A10; secondary 35Q72; Viscoelastic flow; global existence;

D O I：

暂无

中图分类号：

学科分类号：

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：8