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.
Caprino, S., Marchioro, C., Miot, E., Pulvirenti, M. (2012). On the Attractive Plasma-Charge System in 2-d. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 37(7), 1237-1272 [10.1080/03605302.2011.653032].
On the Attractive Plasma-Charge System in 2-d
CAPRINO, SILVIA;
2012-01-01
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.File in questo prodotto:
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