We study a positively charged Vlasov-Poisson plasma in which N negative point charges are immersed. The attractiveness of the system forces us to consider a possibly unbounded plasma density near the charges. We prove the existence of a global in time solution, assuming a suitable initial distribution of the velocities of the plasma particles. Uniqueness remains unsolved. © 2012 Copyright Taylor and Francis Group, LLC.
On the Attractive Plasma-Charge System in 2-d / S., Caprino; Marchioro, Carlo; E., Miot; Pulvirenti, Mario. - In: COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0360-5302. - STAMPA. - 37:7(2012), pp. 1237-1272. [10.1080/03605302.2011.653032]
On the Attractive Plasma-Charge System in 2-d
MARCHIORO, Carlo;PULVIRENTI, Mario
2012
Abstract
We study a positively charged Vlasov-Poisson plasma in which N negative point charges are immersed. The attractiveness of the system forces us to consider a possibly unbounded plasma density near the charges. We prove the existence of a global in time solution, assuming a suitable initial distribution of the velocities of the plasma particles. Uniqueness remains unsolved. © 2012 Copyright Taylor and Francis Group, LLC.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.