勷勤数学•专家报告

题      目：Global solution near a local Maxwellian to the Vlasov-Poisson-Landau system

报  告  人：  杨东成 副教授  (邀请人：喻洪俊)

                                         华南理工大学

时      间： 4月29日  16：00-17:00

地     点：数科院东楼401

报告人简介:

       杨东成副教授，现工作在华南理工大学数学学院， 从事动理学方程等偏微分方程的数学理论研究，已在国际顶级期刊 Communications in Mathematical Physics， Archive for Rational Mechanics and Analysis, J. Math. Pures Appl. 等上发表学术论文10余篇。

摘      要：

         Understanding the long-time behavior of solutions around non-trivial profiles for the Vlasov-Poisson-Landau system is an important and challenging problem. In this talk, we will construct the global-in-time solution near a  local Maxwellian to the Vlasov-Poisson-Landau system with slab symmetry for the physical Coulomb interaction when the initial data connects two distinct global Maxwellians at the far fields  . The fluid components of this local Maxwellian are called viscous contact waves in the sense of hydrodynamics. We also prove the solution tends toward such local Maxwellian in large time.

          欢迎老师、同学们参加、交流！