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arXiv · 1106.5527

On the attractive plasma-charge system in 2-d

Silvia Caprino·Carlo Marchioro·Evelyne Miot·Mario Pulvirenti
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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.

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Silvia Caprino, Carlo Marchioro, Evelyne Miot, Mario Pulvirenti. 2011-06-27. On the attractive plasma-charge system in 2-d. https://arxiv.org/abs/1106.5527

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