学术报告报告主题: The non-cutoff Vlasov-Poisson-Boltzmann system with weak collisions
报 告 人: 雷远杰教授（华中科技大学）
报告时间： 2025年 11月10日（星期一）下午15:00-16:00
报告地点： 腾讯会议 530-921-141
邀 请 人: 周富军 教授
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数学学院
2025年11月05日
报告摘要：
In this talk, we will present some results for the non-cutoff Vlasov-Poisson-Boltzmann system in the weakly collisional regime. To address the weak dissipation of the non-cutoff linearized Boltzmann operator, we develop a refined velocity-weighted energy framework combined with vector-field techniques to control the transport term, nonlinear collisions, and the self-consistent electric field. This approach yields uniform-in-time bounds, captures enhanced dissipation of the solution, and establishes Landau damping for both the density and electric field, providing the first global-in-time result of this type for the non-cutoff Vlasov-Poisson-Boltzmann system. Our approach is inspired by the recent work of Chaturvedi-Luk-Nguyen (J. Amer. Math. Soc.，36 (2023), no. 4, 1103--1189.). This is a joint work with Prof. Shuangqian Liu, Prof. Qinghua Xiao and Prof. Huijiang Zhao.
报告人介绍：
雷远杰，华中科技大学数学与统计学院教授，主要研究方向为以Boltzmann方程、Landau方程为代表的几类动理学方程（组）的适定性理论。目前在CMP，JFA, JLMS, SIAM JMA等期刊上发表论文十余篇，主持国家自然科学基金项目两项。