On the nonlinear stability of the thermodiffusive equilibrium for the magnetic Bénard problem

Authors

DOI:

https://doi.org/10.1478/AAPP.97S1A13

Keywords:

Stability, Energy Method

Abstract

In this paper we study the nonlinear Lyapunov stability of the termodiffusive equilibrium of a viscous electroconducting horizontal fluid layer heated from below. We reformulate the nonlinear stability problem, in terms of poloidal and toroidal fields, by projecting the initial perturbation evolution equations on some suitable orthogonal subspaces of the kinematically admissible functions. In such a way, if the principle of exchange of stabilities holds, we obtain, in the classical  L2-norm, the coincidence of linear and nonlinear stability bounds.

Author Biographies

  • Arcangelo Labianca, Università degli Studi di Bari
    Dipartimento di Matematica, Via E. Orabona 4, 70125 Bari
  • Lidia Palese, Università degli Studi di Bari
    Dipartimento di Matematica, Via E. Orabona 4, 70125 Bari

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Published

2019-05-20

Issue

Vol 97, SUPPL NO 1 (2019): Thermocon 2016

Section

THERMOCON 2016 (Conference Proceedings)

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