Nonlinear stability of bifurcating front solutions for the Taylor-Couette problem

被引：0
|
作者：
Eckmann, JP [1 ]
Schneider, G
机构：
[1] Univ Geneva, Dept Phys Theor, CH-1211 Geneva 4, Switzerland
[2] Univ Bayreuth, Inst Math, D-95440 Bayreuth, Germany
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2000年 / 80卷 / 11-12期
关键词：
modulated fronts; diffusive behavior;
D O I：
10.1002/1521-4001(200011)80:11/12<745::AID-ZAMM745>3.0.CO;2-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the Taylor-Couette problem in an infinitely extended cylindrical domain. There exist modulated front solutions which describe the spreading of the stable Taylor vortices into the region of the unstable Couette flow. These transient solutions have the form of a front-like envelope advancing in the laboratory frame and leaving behind the stationary, spatially periodic Taylor vortices. We prove the nonlinear stability of these solutions with respect to small spatially localized perturbations.
引用
收藏
页码：745 / 753
页数：9
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