A comparison of homogenization and large deviations, with applications to wavefront propagation
- 作者：Freidlin ; Mark I. ; et. al.
- 关键词：primary 35B27 ; 35K57 ; 60F10 ; secondary 35K40 ; 35B40 ; Homogenization ; Huygen's principle ; KPP equations ; Large deviations ; Minkowski geometry ; Reaction&ndash ; diffusion equations ; Wavefront propagation
- 刊名：Stochastic Processes and their Applications
- 出版年：1999
- 期刊代码：57_03044149
- 类别：mt
- 出版时间：July, 1999
- 卷：82
- 期：1
- 页码：23-52
- 文件大小：248 K
摘要
We consider the combined effects of homogenization and large deviations in a stochastic differential equation. We show that there are three regimes, depending on the relative rates at which the small viscosity parameter and the homogenization parameter tend to zero. We prove some large-deviations-type estimates, and then apply these results to study wavefronts in both a single reaction–diffusion equation and in a system of reaction–diffusion equations.