Ideal Magnetohydrodynamics Around Couette Flow: Long Time Stability and
Vorticity-Current Instability
Ideal Magnetohydrodynamics Around Couette Flow: Long Time Stability and
Vorticity-Current Instability
This article considers the ideal 2D magnetohydrodynamic equations on an infinite periodic channel close to a combination of an affine shear flow, called Couette flow, and a constant magnetic field. This setting combines important physical effects of mixing and coupling of velocity and magnetic field. We establish the existence and …