Stability Threshold of the 2D Couette Flow in a Homogeneous Magnetic Field Using Symmetric Variables

We consider a 2D incompressible and electrically conducting fluid in the domain T x R. The aim is to quantify stability properties of the Couette flow (y, 0) with a constant homogenous magnetic field (beta, 0) when |beta|>1/2. The focus lies on the regime with small fluid viscosity nu, magnetic resistivity mu and we assume that the magnetic Prandtl number satisfies mu(2 )less than or similar to Pr-m = nu/mu