Speaker: Tai-Ping Liu

Title: Solving Boltzmann equation, the Green's function approach

Abstract: With Shih-Hsien Yu, we study the nonlinear waves and boundary behaviors of the solutions to the Boltzmann equation. Our approach is based on the pointwise estimates for the Green's function around a global Maxwellian state. We construct and estimate the Green's function around nonlinear waves and with boundary using the
combination of weighted energy method and the Green's functions around global Maxwellian states. Applications to the initial-boundary value problem and to the stability of shock waves will be presented.