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Phys. Rev. E 84, 065301(R) (2011) [4 pages]

Paradoxical transitions to instabilities in hydromagnetic Couette-Taylor flows

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Oleg N. Kirillov1, Dmitry E. Pelinovsky2, and Guido Schneider3
1Helmholtz-Zentrum Dresden-Rossendorf, P.O. Box 510119, D-01314 Dresden, Germany
2Department of Mathematics, McMaster University, Hamilton, Ontario, Canada L8S 4K1
3Institute of Analysis, Dynamics, and Modeling, University of Stuttgart, Stuttgart, Germany

Received 22 August 2011; published 14 December 2011

By methods of modern spectral analysis, we rigorously find distributions of eigenvalues of linearized operators associated with an ideal hydromagnetic Couette-Taylor flow. The transition to instability in the limit of a vanishing magnetic field has a discontinuous change compared to the Rayleigh stability criterion for hydrodynamical flows, which is known as the Velikhov-Chandrasekhar paradox.

©2011 American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.84.065301
DOI:
10.1103/PhysRevE.84.065301
PACS:
47.35.Tv, 46.15.Ff, 47.32.-y, 47.85.L-
 
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