Open Access
Translator Disclaimer
2007 On the stability of periodic solutions of multi-dimensional models
Rita Cavazzoni
Differential Integral Equations 20(2): 181-196 (2007).

Abstract

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.

Citation

Download Citation

Rita Cavazzoni. "On the stability of periodic solutions of multi-dimensional models." Differential Integral Equations 20 (2) 181 - 196, 2007.

Information

Published: 2007
First available in Project Euclid: 20 December 2012

zbMATH: 1212.35061
MathSciNet: MR2294464

Subjects:
Primary: 35L65
Secondary: 35B10 , 35B35 , 35G25 , 35K55

Rights: Copyright © 2007 Khayyam Publishing, Inc.

JOURNAL ARTICLE
16 PAGES


SHARE
Vol.20 • No. 2 • 2007
Back to Top