A central limit theorem for pulled fronts in a random medium
Journal Article
We consider solutions to a nonlinear reaction diffusion equation when the reaction term varies randomly with respect to the spatial coordinate. The nonlinearity is the KPP type nonlinearity. For a stationary and ergodic medium, and for certain initial condition, the solution develops a moving front that has a deterministic asymptotic speed in the large time limit. The main result of this article is a central limit theorem for the position of the front, in the supercritical regime, if the medium satisfies a mixing condition. © American Institute of Mathematical Sciences.
Full Text
Duke Authors
Cited Authors
- Nolen, J
Published Date
- 2011
Published In
Volume / Issue
- 6 / 2
Start / End Page
- 167 - 194
International Standard Serial Number (ISSN)
- 1556-1801
Digital Object Identifier (DOI)
- 10.3934/nhm.2011.6.167