题 目：Explicit structure of the Fokker Planck equation with flat potentials
报告人：王海涛，上海交通大学
时 间：6月13号（周六）上午 8:00—12:00
地 点：腾讯会议 会议ID：832 785 678
摘要：
We study the pointwise (in both space and time variables) behavior of the FokkerPlanck equation with flat potentials.
A precise description of the solution is given, including the initial singularity, large time behavior and spatially asymptotic
behavior. The initial layer is dominated by KolmogorovFokkerPlanck solution, the large time behavior is dominated by
diffusion fluid wave, and the solution decays exponentially or subexponentially at spacelike region. Moreover, the structure
of the solution highly depends on the potential function. How to apply the similar idea to linearized Landau equation will
be mentioned. If time permits, we will also discuss the similarities and differences between these equations and the cutoff
Boltzmann equation.
个人简介：王海涛，2010年本科毕业于上海交通大学，2015年博士毕业于新加坡国立大学，2015-2017在“中央研究院”从事博士后
研究，2017年7月加入上海交通大学。他主要的研究兴趣是对动理学、流体力学初边值问题的解给出精细刻画，所得结果发表在
Arch. Ration. Mech. Anal., SIAM J. Math. Anal., J. Stat. Phys.等期刊上，曾应邀作世界华人数学家大会45分钟
邀请报告。
