Scaling limits and homogenization for mixing Hamilton-Jacobi equations
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
Time: 3:30pm - 4:30pm