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