Geodesic
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  - 
%0 Journal Article
%A A. A. Kashchenko
%T Analysis of running waves stability in the Ginzburg--Landau equation with small diffusion
%J Modelirovanie i analiz informacionnyh sistem
%D 2011
%P 58-62
%V 18
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MAIS_2011_18_3_a5/
%G ru
%F MAIS_2011_18_3_a5
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/

[1] V. I. Ginzburg, L. D. Landau, “K teorii sverkhprovodimosti”, ZhETF, 20 (1950), 1064

[2] N. A. Kudryashov, Metody nelineinoi matematicheskoi fiziki, Uchebnoe posobie, Intellekt, Dolgoprudnyi, 2010, 368 pp.

[3] T. S. Akhromeeva, S. P. Kurdyumov, G. G. Malinetskii, A. A. Samarskii, Nestatsionarnye struktury i diffuzionnyi khaos, Nauka, M., 1992, 542 pp. | MR | Zbl