报告题目:Stability of equilibrium for non-linear Fokker-Planck equation
报告人:杨雄锋教授(上海交通大学数学科学学院)
时间:11月18日8:30-9:30(北京时间)
腾讯会议:807 577 983(无密码)
摘要:In this talk, I will discuss the stability of the global equilibrium for the nonlinear Fokker-Planck equations together with the Vlasov-Poisson-Fokker-Planck equations in the whole space, which is proved by the suitable energy estimates. Meanwhile, the decay rate of the nonlinear Fokker-Planck equation is also studied through the precise spectral analysis of the linearized Fokker-Planck operator. The decay rate of the solution to Vlasov-Poisson-Fokker-Planck equations is also established by energy estimates.
报告人简介:杨雄锋,上海交通大学数学与科学学院教授,研究方向为偏微分方程。主要研究内容有: 动理学方程及其边界层问题的适定性,流体力学方程解的逐点性质以及耗散系统基本波的稳定性理论,这些内容都是偏微分方程基础理论研究中的重要课题。相关的文章发表在Adv. Math., Arch. Ration. Mech. Anal. , Siam J. Math. Anal., J. Diff. Equations, Comm. Part. Diff. Eqns. 等重要数学期刊上。另外,报告人曾多次获得国家自然科学基金委资助,并在2011年获得上海市自然科学一等奖。