R440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
Singularity and Regularity for the Stationary Solution to Linearized Boltzmann Equations
I-Kun Chen (National Taiwan University)
Abstract
In Boltzmann equation, the interplaying between free transport,collision, and boundary yields rich phenomena in regularity of solutions. In this talk, we will first introduce the logarithmic singularity both on macroscopic microscopic variables due to the boundary. Then, we will discuss the regularity of stationary solution in convex domain. Finally, we will provide the analysis that realize our observation.