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

Arcangelo Labianca, Lidia Palese

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.

Keywords


Stability - Energy Method.

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

Copyright (c) 2019 Arcangelo Labianca, Lidia Rosaria Palese

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