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Time Decay of the Solutions of the Vlasov–Poisson System in the Plasma Physical Case
Author(s) -
Illner Reinhard,
Rein Gerhard
Publication year - 1996
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/(sici)1099-1476(19961125)19:17<1409::aid-mma836>3.0.co;2-2
Subject(s) - mathematics , plasma , property (philosophy) , poisson distribution , identity (music) , sign (mathematics) , vlasov equation , mathematical analysis , mathematical physics , statistical physics , physics , quantum mechanics , statistics , philosophy , epistemology , acoustics
We introduce a new identity satisfied by solutions of the Vlasov–Poisson system. It has the property that all quantities which appear have a definite sign, and this allows us to prove new results on the time decay of the solutions in the plasma physical case.