Traveling waves in a one-dimensional random medium
Analysis of PDEs
2007-10-10 v1 Probability
Abstract
We consider solutions of a scalar reaction-diffusion equation of the ignition type with a random, stationary and ergodic reaction rate. We show that solutions of the Cauchy problem spread with a deterministic rate in the long time limit. We also establish existence of generalized random traveling waves and of transition fronts in general heterogeneous media.
Cite
@article{arxiv.0710.1858,
title = {Traveling waves in a one-dimensional random medium},
author = {James Nolen and Lenya Ryzhik},
journal= {arXiv preprint arXiv:0710.1858},
year = {2007}
}
Comments
27 pages