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A note on the growth of velocities in a collisionless plasma
Author(s) -
Pallard Christophe
Publication year - 2010
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.1402
Subject(s) - plasma , mathematics , poisson's equation , initial value problem , distribution function , poisson distribution , function (biology) , value (mathematics) , vlasov equation , mathematical analysis , distribution (mathematics) , mathematical physics , physics , statistics , quantum mechanics , evolutionary biology , biology
We consider the initial value problem for the classical Vlasov–Poisson system with smooth compactly supported initial data. In the electrostatic case, we show that the size of the velocity support of the distribution function grows at most like t 2/7+ bf ε for any ε> 0 . Copyright © 2010 John Wiley & Sons, Ltd.