On the attractive plasma-charge system in 2-d

Details On the attractive plasma-charge system in 2-d On the attractive plasma-charge system in 2-d

2011-06-27

arxiv.org/abs/1106.5527v1

Mathematics

Analysis of PDEs

Scientific paper

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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