Analysis of Running Waves Stability in the Ginzburg-Landau Equation with Small Diffusion

We study the local dynamics of the Ginzburg-Landau equation with small diffusion in a neibourhood of running waves. We find necessary conditions of running waves instability and sufficient conditions of their stability.

Bibliographic Details
Main Author: A. A. Kashchenko
Format: Article
Language:English
Published: Yaroslavl State University 2011-09-01
Series:Modelirovanie i Analiz Informacionnyh Sistem
Subjects:
Online Access:https://www.mais-journal.ru/jour/article/view/1064