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Hilbert Expansion for the Relativistic Vlasov-Maxwell-Landau System

主讲人：肖清华

摘要：The two-species relativistic Vlasov-Maxwell-Landau system is the most fundamental and complete model describing the dynamics of a dilute plasma, in which particles interact through Coulombic collisions and through their self-consistent electromagnetic field. A rigorous derivation from the two-species relativistic Vlasov-Maxwell-Landau system to the two-fluid relativistic Euler-Maxwell system  is a longstanding major open problem in the kinetic theory. We establish the global-in-time validity of Hilbert expansion for the relativistic Vlasov-Maxwell-Landau system and derive the limiting two-fluid relativistic Euler-Maxwell system as the Knudsen number goes to zero.  Our proof is based on a new time-dependent energy method, which is inspired by the pioneer work of Caflisch in 1980.

主讲人简介：肖清华，2012年博士毕业于武汉大学数学与统计学院，2012年至2014年在韩国首尔国立大学做博士后研究，现为中国科学院精密测量科学与技术创新研究院研究员，主要从事Boltzmann型方程、与Kuramoto 模型和Cucker-Smale模型相关动理学方程等方面的研究。目前在ARMA，CMP，JFA，SIAM.JMA, MMMAS,JDE等期刊发表论文20余篇。

邀请人：雷远杰

时间：：2022年7月18日 （星期一）15:30-17:00

地点：逸夫科技楼706室