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Buoyancy-thermocapillary instability: the role of interfacial deformation in one- and two-component fluid layers heated from below or above

Energy stability theory has been used to study BBnard convection in one- and two-component horizontal fluid layers heated from below or above when there is a deformable upper surface. To a first approximation in the crispation number, we provide sufficient conditions for stability of the motionless state of the layer, and delineate regions of possible subcritical instability.