Solutions to the burgers equation with periodic perturbations on boundary
The asymptotic behavior of solutions of the Burgers equation with initial value - boundary problem on a finite interval with periodic boundary conditions is studied. The equation describes a dissipative medium, so a constant initial profile will evolve to a travelling-wave solution. Its asymptotic l...
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| Format: | Article |
| Language: | Russian |
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Moscow State Technical University of Civil Aviation
2016-11-01
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| Series: | Научный вестник МГТУ ГА |
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| Online Access: | https://avia.mstuca.ru/jour/article/view/308 |
| _version_ | 1826564067996729344 |
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| author | A. V. Samokhin |
| author_facet | A. V. Samokhin |
| author_sort | A. V. Samokhin |
| collection | DOAJ |
| description | The asymptotic behavior of solutions of the Burgers equation with initial value - boundary problem on a finite interval with periodic boundary conditions is studied. The equation describes a dissipative medium, so a constant initial profile will evolve to a travelling-wave solution. Its asymptotic limit is periodic ’sawtooth’ solution with periodical breaks of derivative, similar to the Fay solution on a half-line. |
| first_indexed | 2024-04-10T03:45:25Z |
| format | Article |
| id | doaj.art-b96adb4be5f942249b16bb454d957514 |
| institution | Directory Open Access Journal |
| issn | 2079-0619 2542-0119 |
| language | Russian |
| last_indexed | 2025-03-14T10:13:58Z |
| publishDate | 2016-11-01 |
| publisher | Moscow State Technical University of Civil Aviation |
| record_format | Article |
| series | Научный вестник МГТУ ГА |
| spelling | doaj.art-b96adb4be5f942249b16bb454d9575142025-03-02T11:13:31ZrusMoscow State Technical University of Civil AviationНаучный вестник МГТУ ГА2079-06192542-01192016-11-012208287308Solutions to the burgers equation with periodic perturbations on boundaryA. V. Samokhin0МГТУ ГАThe asymptotic behavior of solutions of the Burgers equation with initial value - boundary problem on a finite interval with periodic boundary conditions is studied. The equation describes a dissipative medium, so a constant initial profile will evolve to a travelling-wave solution. Its asymptotic limit is periodic ’sawtooth’ solution with periodical breaks of derivative, similar to the Fay solution on a half-line.https://avia.mstuca.ru/jour/article/view/308burgers equationinitial value - boundary problemfinite intervalsawtooth solutions |
| spellingShingle | A. V. Samokhin Solutions to the burgers equation with periodic perturbations on boundary Научный вестник МГТУ ГА burgers equation initial value - boundary problem finite interval sawtooth solutions |
| title | Solutions to the burgers equation with periodic perturbations on boundary |
| title_full | Solutions to the burgers equation with periodic perturbations on boundary |
| title_fullStr | Solutions to the burgers equation with periodic perturbations on boundary |
| title_full_unstemmed | Solutions to the burgers equation with periodic perturbations on boundary |
| title_short | Solutions to the burgers equation with periodic perturbations on boundary |
| title_sort | solutions to the burgers equation with periodic perturbations on boundary |
| topic | burgers equation initial value - boundary problem finite interval sawtooth solutions |
| url | https://avia.mstuca.ru/jour/article/view/308 |
| work_keys_str_mv | AT avsamokhin solutionstotheburgersequationwithperiodicperturbationsonboundary |