学术报告

The Initial Boundary Value Problem for the Boltzmann Equation with Soft Potential

发布人：发布时间： 2019-12-03

字体大小： 【小】 【中】 【大】

**题目: ** The Initial Boundary Value Problem for the Boltzmann Equation with Soft Potential

**报告人：**杨雄峰 教授（上海交通大学）

**摘要: **Boundary effects are central to the dynamics of the dilute particles governed by the Boltzmann equation. In this talk, I will present the existence and the large time behavior for the solutions of the initial-boundary value problem of the Boltzmann equation with soft potentials, in which the collision kernel is ruled by the inverse power law. We ﬁrst discuss the L2 argument and its interplay with intricate L∞ analysis for the linearized Boltzmann equation. Based on it, we establish the global existence and then obtain the exponential decay in L∞ space for the nonlinear Boltzmann equation. A new time-velocity weighted L∞ theory has been developed to overcome the difficulties from the zero lower bound of the collision frequency and the singularity of the collision kernel. This is a joint work with S.Q. Liu.

**时间：**2019年12月5日上午10:00-11:00

**地点：**西大楼108

**邀请人：**栗付才 老师