On the Lyapunov function for the rotating Benard problem
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2015, Vol 9, Issue 9
Abstract
In this paper we study the nonlinear Lyapunov stability of the conduction-diusion solution in a layer of a rotating Newtonian uid, heated and salted from below.If we reformulate the nonlinear stability problem, projecting the ini-tial perturbation evolution equations on some suitable orthogonal sub-spaces, we preserve the contribution of the Coriolis term, and jointly all the nonlinear terms vanish.We prove that, if the principle of exchange of stabilities holds, the linear and nonlinear stability bounds are equal. We nd that the non- linear stability bound is nothing else but the critical Rayleigh number obtained solving the linear instability problem.
Authors and Affiliations
Lidia Rosaria Rita Palese
Keywords
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- EP ID EP651538
- DOI 10.24297/jam.v9i9.2234
- Views 151
- Downloads 0
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