The dynamics of moving interfaces in a random environment

Series: 
Stochastics Seminar
Thursday, September 24, 2009 - 15:00
1 hour (actually 50 minutes)
Location: 
Skiles 269
,  
Duke University
I will describe recent work on the behavior of solutions to reaction diffusion equations (PDEs) when the coefficients in the equation are random.  The solutions behave like traveling waves moving in a randomly varying environment.  I will explain how one can obtain limit theorems (Law of Large Numbers and CLT) for the motion of the interface.  The talk will be accessible to people without much knowledge of PDE.