On the plasma-charge model

Silvia Caprino; Carlo Marchioro

doi:10.3934/krm.2010.3.241

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2010, Volume 3, Issue 2: 241-254. Doi: 10.3934/krm.2010.3.241

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On the plasma-charge model

Silvia Caprino^1, and
Carlo Marchioro^2,

1.
Dipartimento di Matematica, Università di Tor Vergata, Via della Ricerca Scientifica 1, 00133 Roma
2.
Dipartimento di Matematica, Università La Sapienza, Piazzale Aldo Moro 2, 00185 Roma

Received: June 30, 2009

Revised: September 30, 2009

Published: May 2010

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Abstract

We consider a system made of a positive Vlasov-Poisson plasma and $N$ positive charges in $\R^2$, interacting among themselves and with the plasma via the Coulomb force. We prove an existence and uniqueness theorem for the system in case the charges are initially apart from the plasma.

Keywords:

Vlasov-Poisson equation.

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

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