A Vlasov-Poisson plasma with unbounded mass and velocities confined in a cylinder by a magnetic mirror

Silvia Caprino; Guido Cavallaro; Carlo Marchioro

doi:10.3934/krm.2016011

Article Contents

2016, Volume 9, Issue 4: 657-686. Doi: 10.3934/krm.2016011

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A Vlasov-Poisson plasma with unbounded mass and velocities confined in a cylinder by a magnetic mirror

1.
Dipartimento di Matematica, Università di Tor Vergata, Via della Ricerca Scientifica 1, 00133 Roma
2.
Dipartimento di Matematica "Guido Castelnuovo", Università La Sapienza P.le A. Moro 5, 00185 Roma

Received: September 30, 2015

Revised: February 29, 2016

Published: November 2016

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Abstract

We study the time evolution of a single species positive plasma, confined in a cylinder and having infinite charge. We extend the result of a previous work by the same authors, for a plasma density having compact support in the velocities, to the case of a density having unbounded support and gaussian decay in the velocities.

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Mathematics Subject Classification: Primary: 82D10, 35Q99, 76X05; Secondary: 35L60.

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