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: | Моделирование и анализ информационных систем |
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| Online Access: | https://www.mais-journal.ru/jour/article/view/1064 |
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| _version_ | 1850023964540141568 |
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| author | A. A. Kashchenko |
| author_facet | A. A. Kashchenko |
| author_sort | A. A. Kashchenko |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-7a12d6ecbf9542cab9c595e19458cf11 |
| institution | DOAJ |
| issn | 1818-1015 2313-5417 |
| language | English |
| publishDate | 2011-09-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj-art-7a12d6ecbf9542cab9c595e19458cf112025-08-20T03:01:14ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172011-09-011835862805Analysis 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 |
| spellingShingle | A. A. Kashchenko Analysis of Running Waves Stability in the Ginzburg-Landau Equation with Small Diffusion Моделирование и анализ информационных систем running wave small parameter ginzburg-landau equation |
| title | 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_short | 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 |
| 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 |