Geodesic
On the dynamics of infinitely many charged particles with magnetic confinement
Bollettino della Unione matematica italiana, Série 8, 9B (2006) no. 2, pp. 371-395.

Voir la notice de l'article dans Biblioteca Digitale Italiana di Matematica

We study the time evolution of a system of infinitely many charged particles confined by an external magnetic field in an unbounded cylindrical conductor and mutually interacting via the Coulomb force. We prove the existence, uniqueness and quasi-locality of the motion. Moreover, we give some nontrivial bounds on its long time behavior.
Studiamo l'evoluzione temporale di un sistema di infinite particelle cariche, confinate a muoversi in un conduttore cilindrico illimitato attraverso un campo magnetico esterno e tra loro interagenti mediante un potenziale di tipo Coulomb. Dimostriamo l'esistenza, l'unicità e la quasi-località del moto. Forniamo inoltre alcune stime non banali sul comportamento del sistema per tempi lunghi. 
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Buttà, P.; Caprino, S.; Cavallaro, G.; Marchioro, C. On the dynamics of infinitely many charged particles with magnetic confinement. Bollettino della Unione matematica italiana, Série 8, 9B (2006) no. 2, pp. 371-395. https://geodesic-test.mathdoc.fr/item/BUMI_2006_8_9B_2_a7/

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