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

preprint2022arXivOpen access

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

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Remarks on the Large data global solutions of 3D3D3D RVP system and 3D3D3D RVM system

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