Stability of the magnetic Couette-Taylor flow (Q1779069)

The paper studies the equilibrium solution to the magnetic Couette-Taylor problem in an unbounded cylindrical domain \(\Gamma= \{(r,\varphi,z): r_1< r_2\), \(\varphi\in [0,2\pi]\), \(z\in\mathbb{R}\}\) and its Lyapunov stability under small perturbation of the parameters characterizing the equilibrium. When a perturbation is added to the equilibrium, the MHD system is reformulated as an abstract parabolic equation with state \(w= (v, h)\). The equation has the self-adjoint and nonnegative Stokes operator \({\mathcal A}\) as coefficient.