English

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

Analysis of PDEs 2022-03-04 v2

Abstract

We prove global existence of the 3D3D relativistic Vlasov-Maxwell system for a class of arbitrary large regular initial data with spherical symmetry, in which the initial distribution function of particles is assumed to decay fast but polynomially towards infinity.

Keywords

Cite

@article{arxiv.2003.14192,
  title  = {Global solution of the $3D$ relativistic Vlasov-Maxwell system for the large radial data},
  author = {Xuecheng Wang},
  journal= {arXiv preprint arXiv:2003.14192},
  year   = {2022}
}

Comments

Nothing changed in v2 except the metadata of the arXiv page. This preprint is not for publication. The assumption on the initial data is relaxed to cylindrical symmetry in Wang(2022), see arXiv:2203.01199