On the nonlinear stability in anisotropic MHD with application to Couette-Poiseuille flows

Nonlinear stability of the hydromagnetic Couette-Poiseuille flows in L-2-norm, to 3-D perturbations, in presence of MHD anisotropic Hall and ion-slip currents with transport parameters beta(H) and beta(1) is investigated by the direct Lyapunov functional method. It is proved that high levels of the anisotropic currents can assure asymptotic stability, according with the conditions beta(1) > beta(H) > 1. (C) 2002 Published by Elsevier Science Ltd.