English

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

Analysis of PDEs 2022-03-03 v1

Abstract

We show that the simplified 3D3D 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.

Keywords

Cite

@article{arxiv.2203.01202,
  title  = {Remarks on the Large data global solutions of $3D$ RVP system and $3D$ RVM system},
  author = {Xuecheng Wang},
  journal= {arXiv preprint arXiv:2203.01202},
  year   = {2022}
}

Comments

19 pages, comments are welcome!