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

K T Joseph

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

Analysis of PDEs 2007-05-23 v1

Authors: K T Joseph

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.

Keywords

generalized Burgers equation system of PDEs large time behaviour asymptotic behaviour inviscid case viscous case

Cite

@article{arxiv.math/0512327,
  title  = {Large time behaviour of solutions of a system of generalized Burgers equation},
  author = {K T Joseph},
  journal= {arXiv preprint arXiv:math/0512327},
  year   = {2007}
}

Comments

9 pages

Related papers

View all related →