APS
Speaker: Neeraj Rawat, IIT Bombay
Host: Harsha Hutridurga
Title: Free Boundary Problems and Homogenization.
Time, day and date: 3:30:00 PM – 4:30:00 PM, Thursday, September 24
Venue: Ramanujan Hall
Abstract: The talk covers homogenization of elliptic and parabolic obstacle problems with oscillating coefficients: convergence of coincidence sets and free boundaries under homogenization, a 1D example showing free-boundary homogenization can fail with a fixed obstacle, and a quantitative Hausdorff-distance rate of convergence for the coincidence sets. This is then extended to the one-phase Stefan problem, recast as an evolution variational inequality, with analogous homogenization and convergence results.