The linear and nonlinear stability of the non-convecting motion of an uniformly rotating layer of a binary fluid mixture heated and salted from below, in the Oberbeck-Boussinesq scheme, is studied through the Lyapunov direct method. Necessary and sufficient stability conditions are obtained, for Schmidt P_C and Prandtl P_T numbers equal to 1 and any Taylor number.An optimal Lyapunov function which is built by means of the reduction method. A computable radius of attraction for the initial data is also obtained.
Stability in the Benard problems with competing effects via the reduction method
LOMBARDO, SEBASTIANO
2008-01-01
Abstract
The linear and nonlinear stability of the non-convecting motion of an uniformly rotating layer of a binary fluid mixture heated and salted from below, in the Oberbeck-Boussinesq scheme, is studied through the Lyapunov direct method. Necessary and sufficient stability conditions are obtained, for Schmidt P_C and Prandtl P_T numbers equal to 1 and any Taylor number.An optimal Lyapunov function which is built by means of the reduction method. A computable radius of attraction for the initial data is also obtained.File in questo prodotto:
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