EXISTENCE AND UNIQUENESS OF A SHARP TRAVELING-WAVE IN DEGENERATE NONLINEAR DIFFUSION FISHER-KPP EQUATIONS
In this paper we use a dynamical systems approach to prove the existence of a unique critical value c of the speed c for which the degenerate density-dependent diffusion equation u(t)=[D(u)u(x)](x)+g(u) has: 1. no travelling wave solutions for 0<c<c, 2. a travelling wave solution u(x,t)= phi(x...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 1994 |
| País: | México |
| Institución: | Universidad Nacional Autónoma de México |
| Repositorio: | Sistema de Información de la Facultad de Ciencias, UNAM |
| OAI Identifier: | oai:repositorio.fciencias.unam.mx:11154/3057 |
| Acceso en línea: | http://hdl.handle.net/11154/3057 |
| Access Level: | acceso abierto |
| Palabra clave: | Biology Mathematical & Computational Biology TRAVELING WAVES NONLINEAR DIFFUSION EQUATIONS SHARP SOLUTIONS WAVESPEED DEGENERATE DIFFUSION |
| Sumario: | In this paper we use a dynamical systems approach to prove the existence of a unique critical value c of the speed c for which the degenerate density-dependent diffusion equation u(t)=[D(u)u(x)](x)+g(u) has: 1. no travelling wave solutions for 0<c<c, 2. a travelling wave solution u(x,t)= phi(x-ct) of sharp type satisfying phi(-infinity)=1, phi(tau)=0 For All tau greater than or equal to tau |
|---|