報告人：訾瑞昭 (華中師範大學)

報告題目：Landau damping, collisionless limit, and stability threshold for the Vlasov-Poisson equation with  nonlinear Fokker-Planck collisions

報告摘要：In this talk, we consider the Vlasov-Poisson-Fokker-Planck (VPFP) equation with a small collision frequency , exploring the interplay between the regularity and size of perturbations in the context of the asymptotic stability of the global Maxwellian. Our main result establishes the Landau damping and enhanced dissipation phenomena under the condition that the perturbation of the global Maxwellian falls within the Gevrey- class and obtain that the stability threshold for the Gevrey-class with  can not be larger than  for . Moreover, we show that for Gevrey- with , and for , the solution to VPFP converges to the solution to Vlasov-Poisson equation without collision. This is based on a joint work with Prof. Weiren Zhao and Prof. Jacob Bedrossian.

報告時間：2024年11月27日（星期三）15:00-16:30

報告地點：東32樓115會議室

邀請人：雷遠傑

報告人簡介：訾瑞昭，教授，華中師範大學首批“桂子青年學者”。主要從事流體中的偏微分方程解的适定性與穩定性的研究。在Mathematische Annalen，Archive for Rational Mechanics and Analysis, Journal de Mathématiques Pures et Appliquées, Journal of Functional Analysis, Annales de l'Institut Henri Poincaré–Analyse non linéaire, SIAM Journal on Mathematical Analysis等國際期刊上發表論文30餘篇。先後主持國家自然科學基金青年科學基金項目及面上項目各一項，2022年獲得國家級人才項目資助。