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.
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2011-09-01
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| Series: | Modelirovanie i Analiz Informacionnyh Sistem |
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| Online Access: | https://www.mais-journal.ru/jour/article/view/1064 |
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Article |
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doaj-7a12d6ecbf9542cab9c595e19458cf112021-07-29T08:15:17ZengYaroslavl State UniversityModelirovanie i Analiz Informacionnyh Sistem1818-10152313-54172011-09-011835862805Analysis of Running Waves Stability in the Ginzburg-Landau Equation with Small DiffusionA. A. Kashchenko0Ярославский государственный университет им. П.Г. ДемидоваWe 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.https://www.mais-journal.ru/jour/article/view/1064running wavesmall parameterginzburg-landau equation |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
A. A. Kashchenko |
| spellingShingle |
A. A. Kashchenko Analysis of Running Waves Stability in the Ginzburg-Landau Equation with Small Diffusion Modelirovanie i Analiz Informacionnyh Sistem running wave small parameter ginzburg-landau equation |
| author_facet |
A. A. Kashchenko |
| author_sort |
A. A. Kashchenko |
| title |
Analysis of Running Waves Stability in the Ginzburg-Landau
Equation with Small Diffusion |
| title_short |
Analysis of Running Waves Stability in the Ginzburg-Landau
Equation with Small Diffusion |
| title_full |
Analysis of Running Waves Stability in the Ginzburg-Landau
Equation with Small Diffusion |
| title_fullStr |
Analysis of Running Waves Stability in the Ginzburg-Landau
Equation with Small Diffusion |
| title_full_unstemmed |
Analysis of Running Waves Stability in the Ginzburg-Landau
Equation with Small Diffusion |
| title_sort |
analysis of running waves stability in the ginzburg-landau
equation with small diffusion |
| publisher |
Yaroslavl State University |
| series |
Modelirovanie i Analiz Informacionnyh Sistem |
| issn |
1818-1015 2313-5417 |
| publishDate |
2011-09-01 |
| description |
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. |
| topic |
running wave small parameter ginzburg-landau equation |
| url |
https://www.mais-journal.ru/jour/article/view/1064 |
| work_keys_str_mv |
AT aakashchenko analysisofrunningwavesstabilityintheginzburglandauequationwithsmalldiffusion |
| _version_ |
1721256578657550336 |