Classical limit of the relativistic Vlasov-Maxwell-Landau system

Speaker

Yuanjie Lei 雷远杰

Huazhong University of Science and Technology

Time

Fri., 17:00-18:00, Dec. 19, 2025

Venue

C548, Shuangqing Complex Building A

Title

Classical limit of the relativistic

Vlasov-Maxwell-Landau system

Abstract

The physical essence of the non-relativistic limit, from the relativistic Vlasov-Maxwell-Landau system to the Vlasov-Poisson-Landau system, lies in the transition from finite-speed electromagnetic waves to instantaneous Coulomb interactions, and from relativistic to Newtonian particle dynamics. We rigorously justify this limit (mathematically corresponding to the light speed $c \to \infty$) in a periodic box via three key technical advances: establishing a uniform-in-$c$ coercivity estimate for the relativistic Landau collision operator, constructing a novel weighted energy functional to overcome the weakening dissipation of the electromagnetic field at large $c$, and proving a corresponding global well-posedness result. This is a joint work with Dr. C.-Q. Cao, Prof. L.-B. He and Prof. Q.-H. Xiao.

About the Speaker

Yuanjie Lei is a professor at Huazhong University of Science and Technology, specializing in partial differential equations. He received his Ph.D. in Mathematics from Wuhan University in 2015, following the completion of his M.S. from the same institution in 2011. Earlier, he earned his B.S. in Information and Computing Science from Northwest University in 2009.