Steady convection in MHD BĂ©nard problem with Hall effects

Lidia Palese


In this paper we apply some variants of the classical energy method to study the nonlinear Lyapunov stability of the thermodiffusive equilibrium for a viscous thermoelectroconducting fully ionized fluid in a horizontal layer heated from below. The classical L2 norm, too weak to highlight some stabilizing or unstabilizing effects, can be used to dominate the nonlinear terms. A more fine Lyapunov function is obtained by reformulating the initial perturbation evolution problem, in terms of some independent scalar fields. In such a way, if the principle of exchange of stabilities holds, we obtain the coincidence of linear and nonlinear stability bounds.


stability; energy method

Full Text:



Copyright (c) 2017 Lidia Rosaria Palese

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.