Periodic Solutions of the 1D Vlasov-Maxwell System with Boundary ConditionsReport as inadecuate




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1 CAIMAN - Scientific computing, modeling and numerical analysis CRISAM - Inria Sophia Antipolis - Méditerranée , ENPC - École des Ponts ParisTech, CNRS - Centre National de la Recherche Scientifique : UMR6621

Abstract : We study the 1D Vlasov-Maxwell system with time periodic boundary conditions in its classical and relativistic form. For small data we prove existence of weak periodic solutions. It is necessary to impose non vanishing conditions for the incoming velocities in order to control the life-time of particles in the domain. In order to preserve the periodicity, another condition of vanishing the time average of the incoming current is imposed.

Keywords : MAXWELL EQUATIONS VLASOV EQUATION SCHAUDER-S FIXED POINT THEOREM





Author: Mihai Bostan -

Source: https://hal.archives-ouvertes.fr/



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