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By methods of modern spectral analysis, we rigorously find distributions ofeigenvalues of linearized operators associated with an ideal hydromagneticCouette-Taylor flow. Transition to instability in the limit of vanishingmagnetic field has a discontinuous change compared to the Rayleigh stabilitycriterion for hydrodynamical flows, which is known as theVelikhov-Chandrasekhar paradox.

Paradoxical transitions to instabilities in hydromagnetic Couette-Taylor flows