Weakly Nonlinear Analysis of the Magnetorotational Instability in a Model Channel Flow
Weakly Nonlinear Analysis of the Magnetorotational Instability in a Model Channel Flow
We show by means of a perturbative weakly nonlinear analysis that the axisymmetric magnetorotational instability (MRI) of a viscous, resistive, incompressible rotating shear flow subject to a background vertical magnetic field in a thin channel gives rise to a Ginzburg-Landau equation for the disturbance amplitude. For small magnetic Prandtl number …