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

Authors

  • 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

Keywords:

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.

Downloads

Published

2019-12-20

Issue

Vol 97, SUPPL NO 2 (2019): NACS 2017

Section

NACS 2017 (Conference Proceedings)

License

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

Authors who publish with this journal agree to the following terms:
  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).