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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