学术报告报告题目：The Boltzmann equation with large-amplitude initial data in bounded domains
报 告 人：段仁军 副教授(香港中文大学)
报告时间：2019年8月30日（星期五）上午9:00-10:00
报告地点：4号楼4318会议室
邀 请 人：朱长江 教授
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报告摘要:
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.