The Lyapunov direct method is used to study the non-linear stability of parallel convective shear flows of a mixture heated and salted from below for any Schmidt and Prandtl numbers. Global non-linear exponential stability for small values of Reynolds number R is found and conditional stability results up to the criticality which are independent of R are given for rigid and stress-free boundaries. Copyright (C) 2000 John Wiley & Sons, Ltd.
Global stability in the Bénard problem for a mixture with superimposed plane parallel shear flows
LOMBARDO, SEBASTIANO;MULONE, Giuseppe;
2000-01-01
Abstract
The Lyapunov direct method is used to study the non-linear stability of parallel convective shear flows of a mixture heated and salted from below for any Schmidt and Prandtl numbers. Global non-linear exponential stability for small values of Reynolds number R is found and conditional stability results up to the criticality which are independent of R are given for rigid and stress-free boundaries. Copyright (C) 2000 John Wiley & Sons, Ltd.File in questo prodotto:
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