Wednesday, March 30, 2022

Time: 16:10-17:00

Venue: Mathematics Building Room 527

Speaker:

Prof. I-Kun Chen

Department of Mathematics, National Taiwan University

Title:

A Revisit of the velocity averaging lemma: On the regularity of stationary Boltzmann equation in a bounded convex domain

Abstract

We adopt the idea of velocity averaging lemma to establish regularity for stationary linearized Boltzmann equations in a bounded convex domain. Considering the incoming data, with four iterations, we establish regularity in fractional Sobolev space in space variables up to order 1-. This talk is based on a joint work with Ping-Han Chuang, Chun-Hsiung Hsia, and Jhe-Kuan Su.