Paradoxical transitions to instabilities in hydromagnetic Couette-Taylor flows

Oleg Kirillov; Dmitry Pelinovsky; Guido Schneider

doi:10.1103/PhysRevE.84.065301

Paradoxical transitions to instabilities in hydromagnetic Couette-Taylor flows

Oleg Kirillov, Dmitry Pelinovsky, Guido Schneider

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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.

Original language	English
Pages (from-to)	065301
Journal	Physical Review E
Volume	84
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevE.84.065301
Publication status	Published - 14 Dec 2011

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title = "Paradoxical transitions to instabilities in hydromagnetic Couette-Taylor flows",

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.",

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AU - Kirillov, Oleg

AU - Pelinovsky, Dmitry

AU - Schneider, Guido

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N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84855218474

U2 - 10.1103/PhysRevE.84.065301

DO - 10.1103/PhysRevE.84.065301

M3 - Article

SN - 1539-3755

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SN - 2470-0045

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VL - 84

SP - 065301

JO - Physical Review E

JF - Physical Review E

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Paradoxical transitions to instabilities in hydromagnetic Couette-Taylor flows

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