Remarks on the Large data global solutions of 3D RVP system and 3D RVM system

2022/03/02 by Wang, Xuecheng
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2203.01202

Abstract

We show that the simplified 3D relativistic Vlasov-Maxwell (sRVM) system, in which there is no magnetic field, poses a global solution for a class of arbitrarily large cylindrically symmetric initial data. In particular, a vanishing order condition imposed on the initial data for the relativistic Vlasov-Poisson system (RVP) in Wang(2022) is not imposed for the sRVM system.

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• Global solution of the 3D relativistic Vlasov-Maxwell system for the large radial data
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