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: | , |
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| Tipo de recurso: | capítulo de libro |
| Estado: | Versión publicada |
| Fecha de publicación: | 2005 |
| País: | Chile |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.anid.cl:10533/165493 |
| Acceso en línea: | https://hdl.handle.net/10533/165493 |
| Access Level: | acceso abierto |
| Sumario: | 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. |
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