Giuseppe Maria Coclite: Double-Diffusion Convection. The case of Salt Fingers
Speaker: Giuseppe Maria Coclite (University of Bari)
Title: Double-Diffusion Convection: the case of Salt Fingers
Abstract: Salt fingering is a mechanism of double-diffusive convection that occurs in fluids where density is controlled by two buoyancy-changing scalars that diffuse at different rates. This set-up allows the convective cells to assume the shape of tall finger-like structures called "salt fingers". We consider a system of porous media equations describing the phenomenon in terms of horizontally averaged kinetic energy field and buoyancy. We prove the existence of global weak solutions for such system studying the compactness properties of the solutions of a smooth approximation of the problem and then passing to the limit. Moreover, we discuss the stability and asymptotic properties of the solutions. Those results were obtained in collaboration with S. F. Pellegrino (Bari), F. Paparella (Abu Dhabi).