English

Global Classical Solutions of the one and one-half dimensional Vlasov-Maxwell Fokker-Planck System

Analysis of PDEs 2017-01-31 v2

Abstract

We study the "one and one-half" dimensional Vlasov-Maxwell-Fokker-Planck system and obtain the first results concerning well-posedness of solutions. Specifically, we prove the global-in-time existence and uniqueness in the large of classical solutions to the Cauchy problem and a gain in regularity of the distribution function in its momentum argument.

Keywords

Cite

@article{arxiv.1502.01777,
  title  = {Global Classical Solutions of the one and one-half dimensional Vlasov-Maxwell Fokker-Planck System},
  author = {Stephen Pankavich and Jack Schaeffer},
  journal= {arXiv preprint arXiv:1502.01777},
  year   = {2017}
}

Comments

28 pages. arXiv admin note: text overlap with arXiv:1312.3666