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Periodic Wave Shock Solutions of Burgers Equations, A New Approach
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نویسنده
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bendaas saida ,alaa noureddine
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منبع
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international journal of nonlinear analysis and applications - 2019 - دوره : 10 - شماره : 1 - صفحه:119 -129
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چکیده
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In this paper we present a new approach for the study of 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 innitesimal techniques of non standard analysis.
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کلیدواژه
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non standard analysis ,boundary problem ,viscid Burgers equation ,inviscid Burgers equation ,heat equation ,peroidic wave shock
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آدرس
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ferhat abbas university, campus el-bez, faculty of sciences, department of mathematics, Algeria, university cadi ayyad, faculty of sciences and technology, laboratory lamai, Morocco
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Authors
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