Thermosolutal convection in a rotating couple-stress uid

Authors

  • Lidia Rosaria Rita Palese University of Bari, Italy

DOI:

https://doi.org/10.24297/jam.v11i5.1249

Keywords:

Stability - Benard problem - Energy Method. MSC 76E15-76E30

Abstract

In this paper we study the nonlinear Lyapunov stability of the conduction-diusion solution of a rotating couple-stress uid, in a layer heated and salted from below. After reformulating the perturbation evolution equations in a suit- able equivalent form, we derive the appropriate Lyapunov function and we prove that, if the principle of exchange of stabilities holds, the linear and nonlinear stability bounds are equal.The nonlinear stability bound is exactly the critical Rayleigh num-ber obtained solving the linear instability problem of the conduction- diusion solution.

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Author Biography

Lidia Rosaria Rita Palese, University of Bari, Italy

Associate professor

Mathematics Department-University of Bari

 

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Published

2015-10-20

How to Cite

Palese, L. R. R. (2015). Thermosolutal convection in a rotating couple-stress uid. JOURNAL OF ADVANCES IN MATHEMATICS, 11(5), 5276–5285. https://doi.org/10.24297/jam.v11i5.1249

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Articles