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On the dynamics of infinitely many charged particles with magnetic confinement

P. Buttà; S. Caprino; G. Cavallaro; C. Marchioro

Bollettino dell'Unione Matematica Italiana (2006)

  • Volume: 9-B, Issue: 2, page 371-395
  • ISSN: 0392-4041

Abstract

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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.

How to cite

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Buttà, P., et al. "On the dynamics of infinitely many charged particles with magnetic confinement." Bollettino dell'Unione Matematica Italiana 9-B.2 (2006): 371-395. <http://eudml.org/doc/289628>.

@article{Buttà2006,
abstract = {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.},
author = {Buttà, P., Caprino, S., Cavallaro, G., Marchioro, C.},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {6},
number = {2},
pages = {371-395},
publisher = {Unione Matematica Italiana},
title = {On the dynamics of infinitely many charged particles with magnetic confinement},
url = {http://eudml.org/doc/289628},
volume = {9-B},
year = {2006},
}

TY - JOUR
AU - Buttà, P.
AU - Caprino, S.
AU - Cavallaro, G.
AU - Marchioro, C.
TI - On the dynamics of infinitely many charged particles with magnetic confinement
JO - Bollettino dell'Unione Matematica Italiana
DA - 2006/6//
PB - Unione Matematica Italiana
VL - 9-B
IS - 2
SP - 371
EP - 395
AB - 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.
LA - eng
UR - http://eudml.org/doc/289628
ER -

References

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