English

The Nonrelativistic Limit of Relativistic Vlasov-Maxwell System

Analysis of PDEs 2017-06-28 v1

Abstract

We consider the one and one-half dimensional multi-species relativistic Vlasov-Maxwell system with non-decaying(in space) initial data. We prove its well-posedness and nonrelativistic limit as the speed of light cc\rightarrow\infty. These results mainly rely on a delicate analysis of energy structure and application of estimates along the characteristic lines.

Keywords

Cite

@article{arxiv.1605.09453,
  title  = {The Nonrelativistic Limit of Relativistic Vlasov-Maxwell System},
  author = {Jack Schaeffer and Lei Wu},
  journal= {arXiv preprint arXiv:1605.09453},
  year   = {2017}
}

Comments

17 pages