We study the time evolution of a Vlasov-Poisson plasma moving in an infinite cylinder, in which it is confined by an unbounded external magnetic field. This field depends only on the distance from the border of the cylinder, is tangent to the border and singular on it. We prove the existence and uniqueness of the solution, and also its confinement inside the cylinder for all times, i.e. the external field behaves like a magnetic mirror. Possible generalizations are discussed.

Caprino, S., Cavallaro, G., Marchioro, C. (2012). TIME EVOLUTION OF A VLASOV-POISSON PLASMA WITH MAGNETIC CONFINEMENT. KINETIC AND RELATED MODELS, 5(4), 729-742 [10.3934/krm.2012.5.729].

TIME EVOLUTION OF A VLASOV-POISSON PLASMA WITH MAGNETIC CONFINEMENT

CAPRINO, SILVIA;
2012-01-01

Abstract

We study the time evolution of a Vlasov-Poisson plasma moving in an infinite cylinder, in which it is confined by an unbounded external magnetic field. This field depends only on the distance from the border of the cylinder, is tangent to the border and singular on it. We prove the existence and uniqueness of the solution, and also its confinement inside the cylinder for all times, i.e. the external field behaves like a magnetic mirror. Possible generalizations are discussed.
2012
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/07 - FISICA MATEMATICA
English
Con Impact Factor ISI
Vlasov-Poisson equation; magnetic confinement
Caprino, S., Cavallaro, G., Marchioro, C. (2012). TIME EVOLUTION OF A VLASOV-POISSON PLASMA WITH MAGNETIC CONFINEMENT. KINETIC AND RELATED MODELS, 5(4), 729-742 [10.3934/krm.2012.5.729].
Caprino, S; Cavallaro, G; Marchioro, C
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/90161
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