Prof. Shiwu Yang:Global solutions for the relativistic Vlasov-Maxwell with large Maxwell field

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Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Prof. Shiwu Yang，Beijing International Center for Mathematical Research Peking University
Inviter:
Title:	Global solutions for the relativistic Vlasov-Maxwell with large Maxwell field
Time & Venue:	2021.10.01 15:00-16:00 南楼N913室
Abstract:	In this talk, we prove that the relativistic Vlasov-Maxwell system in three space dimension admits global solutions when the initial density distribution is sufficiently small and decays with rate $(1+\|x\|+\|v\|)^{-9-}$.In particular the Maxwell field is allowed to be arbitrarily large and we give an alternative proof for the small data case without compact support assumption. This is based on joint work with Dongyi Wei.