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 © 2000 John Wiley & Sons, Ltd.
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