Analysis of running waves stability in the Ginzburg--Landau equation with small diffusion
Modelirovanie i analiz informacionnyh sistem, Tome 18 (2011) no. 3, pp. 58-62
Voir la notice de l'article provenant de la source Math-Net.Ru
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.
Keywords:
running wave, small parameter, Ginzburg–Landau equation.
@article{MAIS_2011_18_3_a5,
author = {A. A. Kashchenko},
title = {Analysis of running waves stability in the {Ginzburg--Landau} equation with small diffusion},
journal = {Modelirovanie i analiz informacionnyh sistem},
pages = {58--62},
publisher = {mathdoc},
volume = {18},
number = {3},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MAIS_2011_18_3_a5/}
}
TY - JOUR AU - A. A. Kashchenko TI - Analysis of running waves stability in the Ginzburg--Landau equation with small diffusion JO - Modelirovanie i analiz informacionnyh sistem PY - 2011 SP - 58 EP - 62 VL - 18 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MAIS_2011_18_3_a5/ LA - ru ID - MAIS_2011_18_3_a5 ER -
A. A. Kashchenko. Analysis of running waves stability in the Ginzburg--Landau equation with small diffusion. Modelirovanie i analiz informacionnyh sistem, Tome 18 (2011) no. 3, pp. 58-62. http://geodesic.mathdoc.fr/item/MAIS_2011_18_3_a5/