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Global existence for the Vlasov‐Poisson/Fokker‐Planck equation in many dimensions, for small data
Author(s) -
Triolo L.
Publication year - 1988
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.1670100412
Subject(s) - mathematics , vlasov equation , fokker–planck equation , initial value problem , mathematical analysis , cauchy problem , argument (complex analysis) , poisson's equation , mathematical physics , partial differential equation , plasma , physics , biochemistry , chemistry , quantum mechanics
A global existence result for the Cauchy problem of the Vlasov equation with a diffusive term is given. Smallness of the initial data is needed to show, via a ‘dispersive’ argument, the existence and nearness of the solution to the free one.