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Periodic Wave Shock solutions of Burgers equations | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 11، دوره 10، شماره 1، بهمن 2019، صفحه 119-129 اصل مقاله (575.73 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2018.10791.1524 | ||
| نویسندگان | ||
| Saida Bendaas* 1؛ Noureddine Alaa2 | ||
| 1Department of Mathematics, Faculty of Sciences, Ferhat Abbas University, Campus El-bez, Setif - 19000, Algeria | ||
| 2Department of Mathematics, Faculty of Science and Technics, University of Marrakesh, Morocco | ||
| تاریخ دریافت: 18 اسفند 1395، تاریخ بازنگری: 03 آذر 1397، تاریخ پذیرش: 23 آذر 1397 | ||
| چکیده | ||
| In this paper we investigate the exact peroidic wave shock solutions of the Burgers equations. Our purpose is to describe the asymptotic behavior of the solution in the cauchy problem for viscid equation with small parametr ε and to discuss in particular the case of periodic wave shock. We show that the solution of this problem approaches the shock type solution for the cauchy problem of the inviscid burgers equation. The results are formulated in classical mathematics and proved with infinitesimal techniques of non standard analysis. | ||
| کلیدواژهها | ||
| Non Standard Analysis؛ Boundary Problem؛ Viscid Burgers Equation؛ Inviscid Burgers Equation؛ Heat Equation. Peroidic wave shock | ||
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