Paradoxical transitions to instabilities in hydromagnetic Couette-Taylor flows

Kirillov, Oleg, Pelinovsky, Dmitry and Schneider, Guido (2011) Paradoxical transitions to instabilities in hydromagnetic Couette-Taylor flows. Physical Review E, 84 (6). 065301. ISSN 1539-3755

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Official URL: http://dx.doi.org/10.1103/PhysRevE.84.065301

Abstract

By methods of modern spectral analysis, we rigorously find distributions of eigenvalues of linearized operators associated with an ideal hydromagnetic Couette-Taylor flow. The transition to instability in the limit of a vanishing magnetic field has a discontinuous change compared to the Rayleigh stability criterion for hydrodynamical flows, which is known as the Velikhov-Chandrasekhar paradox.

Item Type: Article
Subjects: F300 Physics
G100 Mathematics
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: Oleg Kirillov
Date Deposited: 23 Jan 2017 13:19
Last Modified: 23 Jan 2017 13:28
URI: http://nrl.northumbria.ac.uk/id/eprint/29276

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