EVENT DETAILS AND ABSTRACT

Title: Stochastic Homogenization of Reaction-Diffusion Equations in Stationary-Ergodic and Isotropic Media
Speaker: Jessica Lin
Speaker Info: University of Wisconsin
Brief Description:
Special Note:
Abstract:

We consider reaction-diffusion equations with combustion nonlinearity in stationary-ergodic and isotropic environments in dimensions $d≤3$. We prove the existence of asymptotic, deterministic speeds of propagation for solutions with both spark-like and front-like initial data in random heterogeneous media. This leads to a general stochastic homogenization result which shows that on average, the large-scale large-time behavior is governed by a deterministic Hamilton-Jacobi equation modeling front propagation. Applications include predicting the evolution of forest fires in random isotropic environments. This talk is based on joint work with Andrej Zlatos.