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

K T Joseph

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

K T Joseph

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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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K T Joseph. 2005-12-14. Large time behaviour of solutions of a system of generalized Burgers equation. https://arxiv.org/abs/math/0512327

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