Paradoxical transitions to instabilities in hydromagnetic Couette-Taylor flows
Fluid Dynamics
2011-12-15 v1 Solar and Stellar Astrophysics
Mathematical Physics
math.MP
Spectral Theory
Abstract
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
Cite
@article{arxiv.1109.0600,
title = {Paradoxical transitions to instabilities in hydromagnetic Couette-Taylor flows},
author = {Oleg N. Kirillov and Dmitry E. Pelinovsky and Guido Schneider},
journal= {arXiv preprint arXiv:1109.0600},
year = {2011}
}
Comments
4 pages, 2 figures