Asymptotic behaviour of a reaction-diffusion equation in higher space dimensions

Abstract

The reaction-diffusion equation considered has a travelling wave solution in one space dimension for which strong stability results have been proved by Fife and McLeod [3], In this paper it is proved that a certain class of solutions of this equation, in higher space dimensions, approach this one-dimensional travelling wave when followed out along any ray. © 1983 Rocky Mountain Mathematics Consortium.