A Refinement of the Asymptotic Growth Bounds for the Vlasov Poisson System with a Point Charge
Athraa Neamah ALbukhuttar *
School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, Peoplé s Republic of China and Department of Mathematics, Kufa University, Najaf, 3681, Iraq.
*Author to whom correspondence should be addressed.
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.
Keywords: Vlasov-Poisson system, point charge, velocity growth, classical solution.