Boundary Value Problems and Multiscale Coupling Methods for Kinetic Equations

Some results on the effects of boundary geometry in rarefied gases

Shigeru Takata

Kyoto University

We will discuss the singular behavior of a rarefied gas near the boundary. We here focus on the time-independent behavior of the gas and study the possible singularities due to the effect of the boundary geometry. This talk is based on a joint work with Tatsuya Yoshida, Takashi Noguchi, Satoshi Taguchi, and Masanari Hattori.