O.N. Kirillov, D.E. Pelinovsky, and G. Schneider
Paradoxical transitions to instabilities in hydromagnetic Couette-Taylor fows
Physical Review E 84, 065301(R) (4 pages) (2011)
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.
instabilities of hydromagnetic flows, eigenvalues of linearized operators,
quadratic eigenvalue problems.