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On the classical solutions of the initial value problem for the unmodified non‐linear vlasov equation II special cases
Author(s) -
Horst E.,
Neunzert H.
Publication year - 1982
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.1670040104
Subject(s) - mathematics , initial value problem , vlasov equation , symmetry (geometry) , mathematical analysis , value (mathematics) , mathematical physics , plasma , geometry , physics , quantum mechanics , statistics
The theory of part I is applied to prove several existence and non‐existence results for special cases. If N = 3, a global classical solution of P ° exists, if φ ⩾ 0 has rotational symmetry. If N ⩾ 4, global classical solutions of P ° do not always exist.