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On space‐time estimates for the Vlasov‐Poisson system
Author(s) -
Schaeffer Jack
Publication year - 2020
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.6174
Subject(s) - vlasov equation , plasma , space (punctuation) , poisson distribution , symmetry (geometry) , mathematics , poisson's equation , identity (music) , classical mechanics , mathematical analysis , plasma modeling , motion (physics) , mathematical physics , physics , statistical physics , geometry , quantum mechanics , statistics , philosophy , linguistics , acoustics
The motion of a collisionless plasma is described by the Vlasov‐Poisson system. A space‐time identity for one‐dimensional plasmas with two species of charge is here generalized to higher dimensions with spherical symmetry. Some estimates on large time behavior are obtained.