Global Small Solutions of the Vlasov-Maxwell System in Absence of Incoming 
Radiation

Calogero, Simon

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Global Small Solutions of the Vlasov-Maxwell System in Absence of Incoming Radiation

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Calogero, Simon
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Calogero, S. (2004). Global Small Solutions of the Vlasov-Maxwell System in Absence of Incoming Radiation. Indiana University Mathematics Journal, 53(5), 1331-1363.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5081-E

Abstract

We consider a modified version of the Vlasov-Maxwell system in which the usual Maxwell fields are replaced by their retarded parts. We show that solutions of this modified system exist globally for a small number of particles and that they describe a system without incoming radiation