Compensation of instabilities in magnetic Taylor-Couette flow.
The axisymmetric linear stability of the Taylor-Couette flow with an azimuthal magnetic field is considered. It is shown that a flow with the combination of a linearly unstable rotation and a linearly unstable azimuthal magnetic field can be linearly stable. The flow stabilization takes place for both ideal and dissipative flows. For dissipative flow the stabilization exists only for a combination of counter-rotating cylinders and a counterdirecting azimuthal magnetic field on cylinders. The effect can be important for the problem of a plasma confinement by the magnetic field.
Shalybkov
Dima
D
A.F. Ioffe Institute for Physics and Technology, 194021, St. Petersburg, Russia. dasha@astro.ioffe.ru