Periodic Wave Shock solutions of Burgers equations

	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
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
آمار تعداد مشاهده مقاله: 16,026 تعداد دریافت فایل اصل مقاله: 9,505

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