Videos

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.