Scaling limits and homogenization for mixing Hamilton-Jacobi equations

Applied Analysis Seminar

Meeting Details

For more information about this meeting, contact Kristin Berrigan, Mark Levi, Alexei Novikov, Mykhailo Potomkin, Leonid Berlyand.

Speaker: Ben Seeger, University of Chicago

Abstract: I will present results about scaling limits of Hamilton-Jacobi equations with highly oscillatory, mixing spatio-temporal dependence. For equations with multiplicative, centered, temporal noise, the large-range, long-time behavior of solutions is governed by a spatially homogenous, stochastic Hamilton-Jacobi equation. The result relies on new stability estimates for stochastic viscosity solutions. I will also explore different scalings for equations perturbed by additive noise, and I demonstrate that different effects are possible, such as blow-up, homogenization, and enhancement.

Room Reservation Information

Room Number: 114 McAllister

Date: 01/30/2019

Time: 3:30pm - 4:30pm