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On the absolutely continuous spectrum of MHD plasma confined in the flat torus
Author(s) -
Kako T.,
Fujita H.
Publication year - 1985
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.1670070130
Subject(s) - mathematics , torus , spectrum (functional analysis) , magnetohydrodynamics , absolute continuity , continuous spectrum , perturbation (astronomy) , operator (biology) , mathematical analysis , essential spectrum , spectral analysis , spectral theory , plasma , physics , geometry , quantum mechanics , biochemistry , chemistry , repressor , spectroscopy , transcription factor , hilbert space , gene
The spectral properties of the linearized MHD operator are investigated applying the theory of trace class perturbation. Especially, it is shown that the essential spectrum in the positive (stable) part of the spectrum contains the absolutely continuous one and the corresponding part of the spectrum is unitarily equivalent to some multiplication operator.