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Asymptotic growth bounds for the Vlasov–Poisson system
Author(s) -
Schaeffer Jack
Publication year - 2011
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.1354
Subject(s) - mathematics , horst , poisson distribution , particle system , upper and lower bounds , particle (ecology) , vlasov equation , mathematical physics , mathematical analysis , plasma , statistics , physics , computer science , quantum mechanics , paleontology , tectonics , oceanography , biology , geology , operating system
Batt showed that solutions of the Vlasov–Poisson system remain smooth as long as the particle speeds remain finite. Pfaffelmoser was the first to establish a bound on the particle speeds, completing the existence proof. Horst greatly improved this bound on the particle speeds. This article improves it further. Copyright © 2010 John Wiley & Sons, Ltd.