Boundary Value Problems and Multiscale Coupling Methods for Kinetic Equations

Exterior Problem for the Vlasov-Poisson-Boltzmann Equations

Tong Yang

City University of Hong Kong

In this talk, we will present the existence of stationary solutions to the Vlasov-Poisson-Boltzmann equations outside an obstacle. The proof is based on the spectrum analysis and a deposition of the solution operator following the approach introduced by Ukai-Asano for the Boltzmann equation. The stability of the stationary solution will also be discussed.