Remarks on the Large data global solutions of RVP system and RVM system
arXiv:2203.01202
Abstract
We show that the simplified 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.
19 pages, comments are welcome!