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Large time behaviour of solutions of a system of generalized Burgers equation
Authors:K. T. Joseph
Affiliation:(1) School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, 400 005 Mumbai, India
Abstract:In this paper we study the asymptotic behaviour of solutions of a system ofN partial differential equations. WhenN = 1 the equation reduces to the Burgers equation and was studied by Hopf. We consider both the inviscid and viscous case and show a new feature in the asymptotic behaviour.
Keywords:Burgers equation  explicit formula  asymptotic behaviour
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