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A Singular Transmission Problem: Alfvenic Resonance in Plasmas
Author(s) -
Núñez Manuel,
Tristán Luis A.
Publication year - 1997
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(19970725)20:11<891::aid-mma889>3.0.co;2-p
Subject(s) - plasma , mathematics , transmission (telecommunications) , resonance (particle physics) , computational physics , physics , mathematical analysis , atomic physics , quantum mechanics , computer science , telecommunications
The non‐homogeneous magnetohydrodynamics equation is studied, with emphasis on the singularities due to Alfvén resonance. It is shown that for any arbitrary function defined on the singular set, there exists a unique solution of the problem coinciding with this function. Then the values on the singular set which correspond to the correct physical solution are determined proving that this is unique except for a discrete set of geometrical configurations. © 1997 B. G. Teubner Stuttgart–John Wiley & Sons Ltd.