The Nonrelativistic Limit of Relativistic Vlasov-Maxwell System

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 c→∞. These results mainly rely on a delicate analysis of energy structure and application of estimates along the characteristic lines.

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