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A nonlinear-stability analysis of second-order fluid in porous medium in presence of magnetic field

  • Lanxi Xu EMAIL logo
Published/Copyright: July 29, 2016

Abstract

Nonlinear stability of the motionless state of the second-order fluid in porous medium in presence of magnetic field is studied by the Lyapunov’s second method. Through defining a Lyapunov function we will prove the inhibiting effect of the magnetic field on the onset of convection. If the Chandrasekhar number is below a computable constant depending on system parameters, we even prove the coincidence of linear and nonlinear stability boundary. Moreover, the medium permeability has a destabilizing effect.

Published Online: 2016-7-29
Published in Print: 2005-5-1

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