Séminaire Analyse non linéaire et EDP

Rayleigh-Bénard convection is the buoyancy-driven flow of a fluid heated from below and cooled from above and is a paradigm for nonlinear dynamics with important applications to meteorology, oceanography and engineering. We are interested in obtaining quantitative bounds on the Nusselt number, the vertical heat transport enhancement factor. The Nusselt number, besides being an interesting quantity for engineering applications, it is the natural quantity to measure the intensity and effectiveness of the motion. For this reason, we are interested in proving (upper) bounds which catch the relation between the Nusselt […]