Paradoxical transitions to instabilities in hydromagnetic Couette-Taylor flows
Paradoxical transitions to instabilities in hydromagnetic Couette-Taylor flows
Kirillov, O. N.; Pelinovsky, D. E.; Schneider, G.
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
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Physical Review E 84(2011)6, 065301(R)
DOI: 10.1103/PhysRevE.84.065301
Cited 6 times in Scopus
Permalink: https://www.hzdr.de/publications/Publ-16287