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

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

2005-12-14

arxiv.org/abs/math/0512327v1

Proc. Indian Acad. Sci. (Math. Sci.), Vol. 115, No. 4, November 2005, pp. 409-517

Mathematics

Analysis of PDEs

9 pages

Scientific paper

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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