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Asymptotic growth bounds for the 3‐D Vlasov‐Poisson system with point charges
Author(s) -
Li Donghao,
Zhang Xianwen
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4816
Subject(s) - poisson distribution , mathematics , point (geometry) , poisson's equation , vlasov equation , mathematical physics , mathematical analysis , plasma , statistical physics , physics , geometry , statistics , quantum mechanics
In this article, we consider the asymptotic behavior of the classical solution to the 3‐dimensional Vlasov‐Poisson plasma interacting repulsively with N point charges. The large time behavior in terms of diameters of its velocity‐spatial supports is improved to O ( t 2/3+ ϵ ) for any ϵ >0.
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