VARIATIONAL PRINCIPLES FOR THE SPEED OF TRAVELING FRONTS OF REACTION-DIFFUSION EQUATIONS
The 1D nonlinear diffusion equation has been used to model a variety of phenomena in different fields, e.g. population dynamics, flame propagation, combustion theory, chemical kinetics and many others. After the work of Fisher (Ann. Eugenics 7 (1937) 355) and Kolmogorov et al. (Etude de l'equat...
| Autores: | , |
|---|---|
| Tipo de documento: | capítulo de livro |
| Estado: | Versão publicada |
| Data de publicação: | 2005 |
| País: | Chile |
| Idioma: | inglês |
| OAI Identifier: | oai:repositorio.anid.cl:10533/165492 |
| Acesso em linha: | https://hdl.handle.net/10533/165492 |
| Access Level: | Acceso aberto |
| Resumo: | The 1D nonlinear diffusion equation has been used to model a variety of phenomena in different fields, e.g. population dynamics, flame propagation, combustion theory, chemical kinetics and many others. After the work of Fisher (Ann. Eugenics 7 (1937) 355) and Kolmogorov et al. (Etude de l'equation de la diffusion avec croissance de la quantitede matiere et son application a un probleme biologique Vol. 1) in the late 1930s, there has been a vast literature on the study of the propagation of localized initial disturbances. The purpose of this review is to present a rather recent variational characterization of the minimal speed of propagation, together with some of its consequences and applications. We consider the 1D reaction- diffusion equation as well as several extensions. |
|---|