报告：Explicit structure of the Fokker-Planck equation with flat confinement

报告人：王海涛副教授

时间：Monday, Nov.20, 2017

地点：Wuhan Center of Mathematics Room 813

报告人简介：Dr. Haitao Wang received his B.S. in mathematics and physics from Shanghai Jiao Tong University in 2010 and earned a Ph.D. in mathematics from National University of Singapore in 2015. From 2015 to 2017 he was a Postdoctor at Institute of Mathematics, Academia Sinica. He joined Shanghai Jiao Tong University as an associate professor since July 2017. His main research interests include conservation laws, kinetic theory and mathematical physics.

摘要：We study the pointwise (in both space and time variables) behavior of the Fokker‐Planck Equation with flat confinement. The solution has very accurate description, including the initial layer, large time behavior and spatially asymptotic behavior. The initial layer is dominated by Kolmogorov‐Fokker‐Planck solution, the large time behavior is dominated by diffusion fluid wave, and the solution decays exponentially at space‐like region. Moreover, the structure of the solution highly depends on the potential function.