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 provenant de la source 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. 
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     author = {Butt\`a, P. and Caprino, S. and Cavallaro, G. and Marchioro, C.},
     title = {On the dynamics of infinitely many charged particles with magnetic confinement},
     journal = {Bollettino della Unione matematica italiana},
     pages = {371--395},
     publisher = {mathdoc},
     volume = {Ser. 8, 9B},
     number = {2},
     year = {2006},
     zbl = {1150.82016},
     mrnumber = {MR2233143},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2006_8_9B_2_a7/}
}
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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. http://geodesic.mathdoc.fr/item/BUMI_2006_8_9B_2_a7/