Title of article :
Periodic Wave Shock Solutions of Burgers Equations, A New Approach
Author/Authors :
Bendaas, Saida Department of Mathematics - Faculty of Sciences - Ferhat Abbas University, Campus El-bez, Algeri , Alaa, Noureddine Laboratory LAMAI - Faculty of Sciences and Technology - University Cadi Ayyad, Marrakech, Morocco
Abstract :
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 " 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.
Keywords :
peroidic wave shock , heat equation , inviscid Burgers equation , viscid Burgers equation , boundary problem , non standard analysis
