Spectrally determined growth for creeping flow of the upper convected Maxwell fluid

被引：0

作者：

Michael Renardy

机构：

[1] Virginia Tech,Department of Mathematics

来源：

Semigroup Forum | 2002年 / 66卷

关键词：

Linear Stability; Elliptic System; Essential Spectrum; Weissenberg Number; Compact Perturbation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

While it is well known that the stability of Newtonian flows is determined by the eigenvalues of a linearized equation, there are no general results of this type for non-Newtonian fluids. In this paper, we show that linear stability of steady creeping flows of the upper convected Maxwell fluid is indeed determined by the spectrum of the linearized operator. The proof uses the theory of evolution semigroups over dynamical systems.

引用

页码：171 / 178

页数：7

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