Journal article

### Travelling wave phenomena in some degenerate reaction-diffusion equations

Abstract:

In this paper we study the existence of travelling wave solutions (t.w.s.), $u(x, t)=\phi(x−ct)$ for the equation $u_t=[D(u)u_x]_x+g(u) (*)$ where the reactive part g(u) is as in the Fisher-KPP equation and different assumptions are made on the non-linear diffusion term D(u). Both functions D and g are defined on the interval [0, 1]. The existence problem is analysed in the following two cases. Case 1. D(0)=0, D(u)>0 $\forall u \in (0, 1]$, D and $g\in C^{2}_{[0,1]}$, $D'(0)\neq0$ a...

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### Authors

Publication date:
1994-01-01
URN:
uuid:ff1c4d2e-8e66-4a42-94df-d79a8ce5c2c5
Local pid:
oai:eprints.maths.ox.ac.uk:497