Pseudo-spectrum of the resistive MHD operator : Resolving the resistive Alfvén paradoxFunded under: FP3-FUSION 11C
In magnetohydrodynamics (MHD), Alfvén waves are represented as continuous spectra of the linear MHD operator. The resistive magnetohydrodynamics (RMHD) paradox is that resistive eigenmodes do not converge to the ideal continuum as resistivity becomes vanishingly small. To resolve this paradox the epsilon-pseudospectrum, a generalisation of the spectrum which corresponds to approximate eigenmodes, is considered. It is shown that for any epsilon, the epsilon-pseudospectrum of resistive MHD contains the continuous spectrum of ideal MHD for sufficiently small values of the resistivity, eta. Using the Wentzel-Kramers-Brillouin-Jeffreys (WKBJ) approximation it is demonstrated that the entire half-annulus is contained in the epsilon-pseudospectrum with the critical value of epsilon required for the existence of an epsilon-eigenmode.
Bibliographic Reference: Report: JET-P(94)04 EN (1994) 21 pp.
Availability: Available from the Publications Officer, JET Joint Undertaking, Abingdon, Oxon. OX14 3EA (GB)
Record Number: 199410333 / Last updated on: 1994-11-28
Original language: en
Available languages: en