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. Transition to instability in the limit of vanishing magnetic field has a discontinuous change compared to the Rayleigh stability criterion for hydrodynamical flows, which is known as the Velikhov-Chandrasekhar paradox.

4 pages, 2 figures

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Cited by in corpus (5)

• Standard and helical magnetorotational instability: How singularities create paradoxal phenomena in MHD
• Analysis of azimuthal magnetorotational instability of rotating MHD flows and Tayler instability via an extended Hain-Lust equation
• Unification theory of instabilities of visco-diffusive swirling flows
• High-speed standard magneto-rotational instability
• Instabilities in visco-thermodiffusive swirling flows