Speaker: Prof.Renjun Duan（The Chinese University of Hong Kong）

Title: The Boltzmann equation with large-amplitude initial data in bounded domains

Time: Fri, Aug.30, 2019,AM:9:00-10:00

Location: Room 4318, Building No.4, Wushan Campus

Abstract：

    The talk is devoted to constructing the global solutions around global Maxwellians to the initial-boundary value problem on the Boltzmann equation in general bounded domains with isothermal diffuse reflection boundaries. We allow a class of non-negative initial data which have arbitrary large amplitude and even contain vacuum. The result shows that the oscillation of solutions away from global Maxwellians becomes small after some positive time provided that they are initially close to each other in $L^2$. This yields the disappearance of any initial vacuum and the exponential convergence of large-amplitude solutions to equilibrium in large time. The isothermal diffuse reflection boundary condition plays a vital role in the analysis.