Paradoxical transitions to instabilities in hydromagnetic Couette-Taylor flows

Oleg Kirillov, Dmitry Pelinovsky, Guido Schneider

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)
8 Downloads (Pure)


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.
Original languageEnglish
Pages (from-to)065301
JournalPhysical Review E
Issue number6
Publication statusPublished - 14 Dec 2011


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