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Publication 16-CNA-009

The Nonrelativistic Limit of Relativistic Vlasov-Maxwell System

Jack Schaeffer
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
js5m@andrew.cmu.edu

Lei Wu
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA
lwu2@andrew.cmu.edu

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 $c \rightarrow \infty$. These results mainly rely on a delicate analysis of energy structure and application of estimates along the characteristic lines.

Get the paper in its entirety as  16-CNA-009.pdf


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