On the plasma-charge model

Pages: 241 - 254, Volume 3, Issue 2, June 2010      doi:10.3934/krm.2010.3.241

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Silvia Caprino - Dipartimento di Matematica, Università di Tor Vergata, Via della Ricerca Scientifica 1, 00133 Roma, Italy (email)
Carlo Marchioro - Dipartimento di Matematica, Università La Sapienza, Piazzale Aldo Moro 2, 00185 Roma, Italy (email)

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.

Received: July 2009;      Revised: October 2009;      Available Online: May 2010.