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June  2010, 3(2): 241-254. doi: 10.3934/krm.2010.3.241

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, Italy
2. 

Dipartimento di Matematica, Università La Sapienza, Piazzale Aldo Moro 2, 00185 Roma, Italy

Received  July 2009 Revised  October 2009 Published  May 2010

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: 35L6.
Citation: Silvia Caprino, Carlo Marchioro. On the plasma-charge model. Kinetic and Related Models, 2010, 3 (2) : 241-254. doi: 10.3934/krm.2010.3.241
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