Traveling waves in diffusive random media
Presenter
October 22, 2012
Keywords:
- Traveling wave solutions
MSC:
- 35C07
Abstract
The current talk is concerned with traveling wave solutions
of reaction diffusion equations in random media.
I will first introduce the concept of random traveling wave
solutions and present a general theorem about the
existence of such traveling wave solutions. I will then
discuss the existence, uniqueness, and stability of
random traveling wave solutions of reaction diffusion
equations with bistable or monostable nonlinearity
in temporally random media. I will end the talk with
some remarks and open problems.