Paradoxical transitions to instabilities in hydromagnetic Couette-Taylor flows

Physics – Fluid Dynamics

Scientific paper

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4 pages, 2 figures

Scientific paper

10.1103/PhysRevE.84.065301

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.

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