The weakly nonlinear magnetorotational instability in a global, cylindrical Taylor-Couette flow

@article{Clark2016TheWN,
title={The weakly nonlinear magnetorotational instability in a global, cylindrical Taylor-Couette flow},
author={S. E. Clark and J. Oishi},
journal={arXiv: High Energy Astrophysical Phenomena},
year={2016}
}

We conduct a global, weakly nonlinear analysis of the magnetorotational instability (MRI) in a Taylor-Couette flow. This is a multiscale perturbative treatment of the nonideal, axisymmetric MRI near threshold, subject to realistic radial boundary conditions and cylindrical geometry. We analyze both the standard MRI, initialized by a constant vertical background magnetic field, and the helical MRI, with an azimuthal background field component. This is the first weakly nonlinear analysis of the… CONTINUE READING