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On quasistationary solutions of the relativistic Vlasov–Maxwell system
Author(s) -
Braasch Peter
Publication year - 1998
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/(sici)1099-1476(19980725)21:11<1015::aid-mma980>3.0.co;2-m
Subject(s) - mathematics , maxwell's equations , vlasov equation , mathematical physics , classical mechanics , mathematical analysis , plasma , physics , quantum mechanics
We study stationary and quasistationary solutions of the relativistic Vlasov–Maxwell system of plasma physics which have a special form introduced (in the classical setting) by Rudykh et al . [9, 10]. The actual construction of such solutions leads to semi‐linear elliptic equations. Under suitable assumptions on the ansatz functions, we are able to solve these equations by a sub‐ and supersolution approach. © 1998 B. G. Teubner Stuttgart—John Wiley & Sons, Ltd.