报告题目：The kinetic Fokker-Planck equation with mean field interaction
时 间：2022年03月28日（星期一）下午19：30
地 点：腾讯会议（ID: 464 412 706）
主 办：数学与统计学院
参加对象：概率统计方向师生
报告摘要：We study the long-time behavior of the kinetic Fokker-Planck equation with mean field interaction, whose limit is often called Vlasov-Fokker-Planck equation. We prove a uniform (in the number of particles) exponential convergence to equilibrium for the solutions in the weighted Sobolev space H^1(μ) with a rate of convergence which is explicitly computable and independent of the number of particles. The originality of the proof relies on functional inequalities and hypocoercivity with Lyapunov type conditions, usually not suitable to provide a dimensional result. This is a joint work with A. Guillin, L. Wu and C. Zhang.
报告人简介： 刘伟，武汉大学教授。主要从事随机分析、大偏差、泛函不等式的研究，已在Comm. Math. Phys., Stochastic Process. Appl., J. Math. Pures Appl. 等国际权威数学期刊发表学术论文50余篇。