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Large time behaviour of solutions of a system of generalized Burgers equation

K T Joseph

math.AParXiv:math/0512327

Abstract

In this paper we study the asymptotic behaviour of solutions of a system of N partial differential equations. When N = 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.

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