Back to Departmental Colloquium: Spring 2016
Departmental Colloquium
Date: Thursday, Jan 21, 2016
Time: 4:00PM
Location: LCB 219
Wenjia Jing
University of Chicago
Title |
Stochastic homogenization and random fluctuation theory for partial differential equations |
Abstract |
Partial differential equations with oscillatory coefficients arise in many applications, such as the modeling of composite materials and flame propagation. The fine scale variations of the physical media are often unknown and are typically modeled as random. The theory of stochastic homogenization amounts to exploring the self-averaging mechanism of the PDEs, and it leads to mean field approximations of the large scale behavior of the solution. The theory of random fluctuations aims at studying the differences between the solution and its homogenization limit, leading to higher order, and often Gaussian, corrections to the approximation. In this talk, I will present some results on homogenization of the Hamilton-Jacobi equations and on the fluctuation theory for elliptic equations with random potentials. |
Probability
Differential Equations