N Wave and Periodic Wave Solutions for Burgers Equations
This article concerns the initial boundary value problem for the non linear dissipative Burgers equation. Our general purpose is to describe the asymptotic behavior of the solution in the Cauchy problem with a small parameter ε for this equation and to discuss in particular the cases of the N wave s...
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| Language: | English |
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Etamaths Publishing
2020-03-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://etamaths.com/index.php/ijaa/article/view/1963 |
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doaj-4a4a96a00114461bbb9e36116527fcc82021-08-26T13:44:40ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392020-03-01182304318444N Wave and Periodic Wave Solutions for Burgers EquationsZahia NouriSaida BendaasHoussem Eddine KademThis article concerns the initial boundary value problem for the non linear dissipative Burgers equation. Our general purpose is to describe the asymptotic behavior of the solution in the Cauchy problem with a small parameter ε for this equation and to discuss in particular the cases of the N wave shock and periodic wave shock. we show that the solution of Cauchy problem of viscid equation approach the shock type solution for the Cauchy problem of the inviscid equation for each case. The results are formulated in classical mathematics and proved with infinitesimal techniques of Non Standard Analysis.http://etamaths.com/index.php/ijaa/article/view/1963 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Zahia Nouri Saida Bendaas Houssem Eddine Kadem |
| spellingShingle |
Zahia Nouri Saida Bendaas Houssem Eddine Kadem N Wave and Periodic Wave Solutions for Burgers Equations International Journal of Analysis and Applications |
| author_facet |
Zahia Nouri Saida Bendaas Houssem Eddine Kadem |
| author_sort |
Zahia Nouri |
| title |
N Wave and Periodic Wave Solutions for Burgers Equations |
| title_short |
N Wave and Periodic Wave Solutions for Burgers Equations |
| title_full |
N Wave and Periodic Wave Solutions for Burgers Equations |
| title_fullStr |
N Wave and Periodic Wave Solutions for Burgers Equations |
| title_full_unstemmed |
N Wave and Periodic Wave Solutions for Burgers Equations |
| title_sort |
n wave and periodic wave solutions for burgers equations |
| publisher |
Etamaths Publishing |
| series |
International Journal of Analysis and Applications |
| issn |
2291-8639 |
| publishDate |
2020-03-01 |
| description |
This article concerns the initial boundary value problem for the non linear dissipative Burgers equation. Our general purpose is to describe the asymptotic behavior of the solution in the Cauchy problem with a small parameter ε for this equation and to discuss in particular the cases of the N wave shock and periodic wave shock. we show that the solution of Cauchy problem of viscid equation approach the shock type solution for the Cauchy problem of the inviscid equation for each case. The results are formulated in classical mathematics and proved with infinitesimal techniques of Non Standard Analysis. |
| url |
http://etamaths.com/index.php/ijaa/article/view/1963 |
| work_keys_str_mv |
AT zahianouri nwaveandperiodicwavesolutionsforburgersequations AT saidabendaas nwaveandperiodicwavesolutionsforburgersequations AT houssemeddinekadem nwaveandperiodicwavesolutionsforburgersequations |
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