English

On classical solutions to the 3D relativistic Vlasov-Maxwell system: Glassey-Strauss' theorem revisited

Analysis of PDEs 2012-07-27 v1

Abstract

R. Glassey and W. Strauss have proved in [Arch. Rational Mech. Anal. 92 (1986), 59--90] that classical solutions to the relativistic Vlasov-Maxwell system in three space dimensions do not develop singularities as long as the support of the distribution function in the momentum variable remains bounded. The present paper simplifies their proof.

Keywords

Cite

@article{arxiv.math/0301175,
  title  = {On classical solutions to the 3D relativistic Vlasov-Maxwell system: Glassey-Strauss' theorem revisited},
  author = {Francois Bouchut and Francois Golse and Christophe Pallard},
  journal= {arXiv preprint arXiv:math/0301175},
  year   = {2012}
}

Comments

17 pages, to be published in Archive for Rational Mechanics and Analysis