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Confined steady states of the relativistic Vlasov–Maxwell system in an infinitely long cylinder

Jörg Weber, ,University of Bayreuth, Universitätsstraße 30, 95440 Bayreuth, Germany
2020 Kinetic and Related Models  

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The time evolution of a collisionless plasma is modeled by the relativistic Vlasov-Maxwell system which couples the Vlasov equation (the transport equation) with the Maxwell equations of electrodynamics. In this work, the setting is two and one-half dimensional, that is, the distribution functions of the particles species are independent of the third space dimension. We consider the case that the plasma is located in an infinitely long cylinder and is influenced by an external magnetic field.
more » ... prove existence of stationary solutions and give conditions on the external magnetic field under which the plasma is confined inside the cylinder, i.e., it stays away from the boundary of the cylinder. on Ω. (1i) 2020 Mathematics Subject Classification. 35Q61, 35Q83, 82D10.
doi:10.3934/krm.2020040 fatcat:vz2qbu3krbdcjhrpo6w4z6qzm4
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Jörg Weber, ,University of Bayreuth, Universitätsstraße 30, 95440 Bayreuth, Germany. "Confined steady states of the relativistic Vlasov–Maxwell system in an infinitely long cylinder." Kinetic and Related Models 13.6 (2020) 0-0