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Periodic Solutions of the 1D Vlasov-Maxwell System with Boundary Conditions

Mihai Bostan 1
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.
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Submitted on : Wednesday, May 24, 2006 - 11:56:46 AM
Last modification on : Friday, February 4, 2022 - 3:18:27 AM
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  • HAL Id : inria-00073129, version 1



Mihai Bostan. Periodic Solutions of the 1D Vlasov-Maxwell System with Boundary Conditions. RR-3554, INRIA. 1998. ⟨inria-00073129⟩



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