Analysis Seminar

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:

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.
Date: Monday, April 18, 2016
Time: 4:10pm
Where: Lunt 105
Contact Person: Tuca
Contact email: tuca@northwestern.edu
Contact Phone: 847-491-5580
Copyright © 1997-2024 Department of Mathematics, Northwestern University.