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Paradoxical transitions to instabilities in hydromagnetic Couette-Taylor flows

Kirillov, O. N.; Pelinovsky, D. E.; Schneider, G.

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.

Keywords: Magnetorotational instability; boundary eigenvalue problem; eigencurves; Velikhov-Chandrasekhar paradox

Permalink: https://www.hzdr.de/publications/Publ-16287


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