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

17 pages

References in corpus (1)

• On the small redshift limit of steady states of the spherically symmetric Einstein-Vlasov system and their stability

Cited by in corpus (2)

• Asymptotic Analysis of Unsteady Neutron Transport Equation
• Semi-classical limit of the massive Klein-Gordon-Maxwell system toward the relativistic Euler-Maxwell system via an adapted modulated energy method