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On the ‘one and one‐half dimensional’ relativistic Vlasov–Maxwell system
Author(s) -
Glassey Robert,
Schaeffer Jack
Publication year - 1990
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.1670130207
Subject(s) - vlasov equation , magnetic field , mathematics , plasma , maxwell's equations , variable (mathematics) , space (punctuation) , mathematical analysis , function (biology) , electromagnetic field , physics , mathematical physics , classical mechanics , quantum mechanics , linguistics , philosophy , evolutionary biology , biology
The time evolution of a collisionless plasma is studied in the case when the Viasov density ƒ is a function of the time, one space variable and two velocity variables. The electromagnetic fields E, B also have a special structure, and the magnetic field B is non‐trivial. It is shown that smooth, consistent initial values generate a uniquc smooth global solution.