Interaction of shock waves in gas dynamics: Uniform in time asymptotics
We construct a uniform in time asymptotics describing the interaction of two isothermal shock waves with opposite directions of motion. We show that any smooth regularization of the problem implies the realization of the stable scenario of interaction.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.3111 |
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| author | M. G. García-Alvarado R. Flores-Espinoza G. A. Omel'yanov |
| author_facet | M. G. García-Alvarado R. Flores-Espinoza G. A. Omel'yanov |
| author_sort | M. G. García-Alvarado |
| collection | DOAJ |
| description | We construct a uniform in time asymptotics describing the interaction of two isothermal shock waves with opposite directions of motion. We show that any smooth regularization of the problem implies the realization of the stable scenario of interaction. |
| format | Article |
| id | doaj-art-b84329d4580740f1bd63a2d7b8489453 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b84329d4580740f1bd63a2d7b84894532025-02-03T01:22:19ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005193111312610.1155/IJMMS.2005.3111Interaction of shock waves in gas dynamics: Uniform in time asymptoticsM. G. García-Alvarado0R. Flores-Espinoza1G. A. Omel'yanov2Departamento de Matemáticas, Sonora 83000, MexicoDepartamento de Matemáticas, Sonora 83000, MexicoDepartamento de Matemáticas, Sonora 83000, MexicoWe construct a uniform in time asymptotics describing the interaction of two isothermal shock waves with opposite directions of motion. We show that any smooth regularization of the problem implies the realization of the stable scenario of interaction.http://dx.doi.org/10.1155/IJMMS.2005.3111 |
| spellingShingle | M. G. García-Alvarado R. Flores-Espinoza G. A. Omel'yanov Interaction of shock waves in gas dynamics: Uniform in time asymptotics International Journal of Mathematics and Mathematical Sciences |
| title | Interaction of shock waves in gas dynamics: Uniform in time asymptotics |
| title_full | Interaction of shock waves in gas dynamics: Uniform in time asymptotics |
| title_fullStr | Interaction of shock waves in gas dynamics: Uniform in time asymptotics |
| title_full_unstemmed | Interaction of shock waves in gas dynamics: Uniform in time asymptotics |
| title_short | Interaction of shock waves in gas dynamics: Uniform in time asymptotics |
| title_sort | interaction of shock waves in gas dynamics uniform in time asymptotics |
| url | http://dx.doi.org/10.1155/IJMMS.2005.3111 |
| work_keys_str_mv | AT mggarciaalvarado interactionofshockwavesingasdynamicsuniformintimeasymptotics AT rfloresespinoza interactionofshockwavesingasdynamicsuniformintimeasymptotics AT gaomelyanov interactionofshockwavesingasdynamicsuniformintimeasymptotics |