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Research Article Open access CC BY 4.0

A Refinement of the Asymptotic Growth Bounds for the Vlasov Poisson System with a Point Charge

Athraa Neamah ALbukhuttar

Journal of Advances in Mathematics and Computer Science · pp. 1–11 · Published 24 Feb 2016

10.9734/BJMCS/2016/23501

Abstract

In [1] proved that global existence and uniqueness of a classical solution to the three dimensional Vlasov-Poisson system in presence of point charges in case of repulsive interaction. Authors in [2] were the first to establish a growth bound on the size of the velocity support of the phase space density. This paper improves it further.

Vlasov-Poisson system point charge velocity growth classical solution.

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