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A two‐species plasma in the limit of large ion mass
Author(s) -
Rein Gerhard
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.1670130206
Subject(s) - ion , electron , plasma , physics , limit (mathematics) , vlasov equation , convergence (economics) , maxwell's equations , infinity , quantum electrodynamics , classical mechanics , mathematics , mathematical analysis , quantum mechanics , economics , economic growth
Classical solutions of the relativistic Vlasov–Maxwell system are considered, describing a collisionless plasma with two species of particles. ions and electrons. It is shown that as the ion mass m tends to infinity, the corresponding solution of the relativistic Vlasov–Maxwell system tends to the solution of a system, in which the ions are given by a fixed ion background and only the electrons move. The convergence is uniform on compact time intervals, with an asymptotic convergence rate of m −1 .
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