Thermosolutal convection in a rotating viscoelastic Walters fluid

Autori

  • Lidia Palese Università degli Studi di Bari

DOI:

https://doi.org/10.1478/AAPP.97S1A20

Parole chiave:

Stability, Energy Method

Abstract

In this paper we study the nonlinear Lyapunov stability of the thermodiffusive equilibrium of a viscoelastic rotating Walters fluid, in a horizontal rotating layer heated and salted from below. We reformulate the nonlinear stability problem, projecting the initial perturbation evolution equations on some suitable subspaces of the space of kinematically admissible functions. In this way we preserve the contribution of the Coriolis term and, jointly, all nonlinear terms vanish. When the viscoelasticy parameter vanishes, that is for the classical rotating Bénard problem, if instability occurs as stationary convection, the linear and nonlinear stability bounds are equal.

Biografia autore

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

Dowloads

Pubblicato

2019-05-20

Fascicolo

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

Sezione

THERMOCON 2016 (Conference Proceedings)

Licenza

Creative Commons License
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