A variant of the energy method: an application to the Bénard problem for a viscoelastic rotating fluid

Autori

  • Arcangelo Labianca Università degli Studi di Bari, Dipartimento di Matematica, Via E. Orabona 4, 70125 Bari, Italy http://orcid.org/0000-0002-6168-9484
  • Lidia Palese Università degli Studi di Bari, Dipartimento di Matematica, Via E. Orabona 4, 70125 Bari, Italy

DOI:

https://doi.org/10.1478/AAPP.97S2A9

Parole chiave:

Stability - Energy Method.

Abstract

In a previous paper of the second author the nonlinear Lyapunov stability of the thermodiffusive equilibrium of a viscoelastic rotating Walters fluid, in a horizontal rotating layer heated and salted from below was studied. If instability occurs as stationary convection a non linear stability bound coinciding with the linear one was derived. In this paper we reconsider the same problem recovering the same result without any restriction on the viscoelasticity parameter.

Pubblicato

2019-12-20

Fascicolo

Sezione

NACS 2017 (Conference Proceedings)