Speaker: Dr Hung Tran from the University of Wisconsin (invited by Loc Nguyen)
Date and Time: Friday, March 4, 2022, 11:00-12:00 in person. The talk will also be broadcast online via Zoom for those unable to attend in person. Please contact Will Brian to obtain the Zoom link.
Title: Periodic homogenization of Hamilton-Jacobi equations: optimal rate and finer properties
Abstract: I will describe some recent progress in periodic homogenization of Hamilton-Jacobi equations. First, we show that the optimal rate of convergence is O(ε) in the convex setting. We then give a minimalistic explanation that the class of centrally symmetric polygons with rational vertices and nonempty interior is admissible as effective fronts in two dimensions. This is joint work with Wenjia Jing and Yifeng Yu.