The Nonrelativistic Limit of Relativistic Vlasov-Maxwell System
  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 $c\rightarrow\infty$. These results mainly rely on a delicate analysis of energy structure and application of estimates along the characteristic lines. 
Jack Schaeffer and Lei Wu
math.AP