Wave front propagation for a reaction-diffusion equation in narrow random channels

Abstract

We consider a reaction-diffusion equation in narrow random channels. We approximate the generalized solution to this equation by the corresponding one on a random graph. By making use of large deviation analysis we study the asymptotic wave front propagation.

31 pages, 1 figure, revised version. arXiv admin note: text overlap with arXiv:1210.5226

References in corpus (2)

• Small mass asymptotic for the motion with vanishing friction
• On diffusion in narrow random channels

Cited by in corpus (2)

• Wave propagation for reaction-diffusion equations on infinite random trees
• Front propagation for reaction-diffusion equations in composite structures