SEMINAR: Mathematics and Statistics colloquium

Interfacial mixing and transport are non-equilibrium processes coupling kinetic to macroscopic scales. They occur in fluids, plasmas and materials, over celestial events to atoms. Grasping their fundamentals can advance a broad range of disciplines in science, mathematics, and engineering. This work focuses on the long- standing classical problem of stability of a phase boundary - a fluid interface that has a mass flow across it. We briefly review the recent advances and challenges in theoretical and experimental studies, present our general theoretical framework directly linking microscopic interfacial transport to macroscopic flow fields, for both inertial and accelerated dynamics, discover new mechanisms of the interface stabilization and destabilization, and chart perspectives for future research.