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Growth estimates and uniform decay for the Vlasov–Poisson system
Author(s) -
Yang Dongcheng
Publication year - 2017
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.4356
Subject(s) - mathematics , norm (philosophy) , poisson distribution , vlasov equation , variable (mathematics) , mathematical analysis , electric field , poisson's equation , space (punctuation) , mathematical physics , plasma , physics , statistics , quantum mechanics , linguistics , philosophy , political science , law
We consider smooth compactly supported solution to the classical Vlasov–Poisson system in three space dimensions in the electrostatic case. An estimate on velocities is derived, showing a growth rate at most like the power 1/8 of the time variable. As a consequence, a better decay estimate is obtained for the electric field in theL ∞norm. Copyright © 2017 John Wiley & Sons, Ltd.