Analysis of Running Waves Stability in the Ginzburg-Landau Equation with Small Diffusion
Abstract
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.
in a neibourhood of running waves. We find necessary conditions of running waves
instability and sufficient conditions of their stability.
About the Author
A. A. Kashchenko
Ярославский государственный университет им. П.Г. Демидова
Russian Federation
Russian Federation
References
1. Гинзбург В.И., Ландау Л.Д. К теории сверхпроводимости // ЖЭТФ. 1950. Т. 20. С. 1064.
2. Методы нелинейной математической физики: Учебное пособие / Н.А. Кудряшов. Долгопрудный: Интеллект, 2010. 368 с.
3. Ахромеева Т.С., Курдюмов С.П., Малинецкий Г.Г., Самарский А.А. Нестационарные структуры и диффузионный хаос. М.: Наука, 1992.
Review
For citations:
Kashchenko A.A. Analysis of Running Waves Stability in the Ginzburg-Landau Equation with Small Diffusion. Modeling and Analysis of Information Systems. 2011;18(3):58-62. (In Russ.)
Views:
539
Email this article 