STABILIZATION OF THE NO-MOTION STATE IN RAYLEIGH-BENARD CONVECTION THROUGH THE USE OF FEEDBACK-CONTROL

It is demonstrated theoretically that the critical Rayleigh number for transition from the no-motion (conduction) to the motion state in the Rayleigh-Benard problem of an infinite fluid layer heated from below and cooled from above can be significantly increased through the use of feedback control strategies effecting small perturbations in the boundary data.