Student Probability/PDE Seminar: Stochastic Non-Homogenization of Non-Convex Hamilton-Jacobi Equations

Seminar | October 13 | 2:10-3:30 p.m. | 891 Evans Hall

 Hong Suh, UC Berkeley

 Department of Mathematics

In 2015, Ziliotto constructed the first example of a non-convex Hamilton-Jacobi equation in random media which fails to homogenize almost surely. We discuss a generalization of this result by Feldman and Souganidis who extend the non-homogenization result to a class of Hamiltonians with a saddle-point non-convexity.