##### Department of Mathematics,

University of California San Diego

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### Math 248 - Analysis Seminar

## Hung Vinh Tran

#### University of Wisconsin Madison

## 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 $O(\varepsilon)$ 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. Joint works with Wenjia Jing and Yifeng Yu.

### February 15, 2022

### 11:00 AM

https://ucsd.zoom.us/j/

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