On the Attractive Plasma-Charge System in 2-d

On the Attractive Plasma-Charge System in 2-d

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 distributi...

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Veröffentlicht in:Communications in partial differential equations 2012-07, Vol.37 (7), p.1237-1272
Hauptverfasser: Caprino, S., Marchioro, C., Miot, E., Pulvirenti, M.
Format: Artikel
Sprache:eng
Schlagworte:
Plasma
Primary: 82D10, 35Q99
Secondary: 35L60
Studies
Vlasov-Poisson equation
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Zusammenfassung: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.
ISSN:0360-5302
1532-4133
DOI:10.1080/03605302.2011.653032