ON THE STABILITY OF PERIODIC SOLUTIONS OF MULTI-DIMENSIONAL MODELS

被引：0
|
作者：
Cavazzoni, Rita
机构：
来源：
DIFFERENTIAL AND INTEGRAL EQUATIONS | 2007年 / 20卷 / 02期
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D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a class of multi-dimensional models and prove the existence of non-trivial steady periodic waves. One of the main results is concerned with the spectral instability of a stationary periodic wave, proved by means of Floquet's theory and the introduction of the Evans function for a suitable related eigenvalue problem. A description of the zero set of the Evans function around the origin allows us to establish a link between the spectral stability analysis and a first-order system of conservation laws derived from the original model through homogenisation.
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页码：181 / 196
页数：16
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