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Explore the mathematical analysis of sharp interface limits in this 39-minute conference lecture examining a Navier-Stokes/Allen-Cahn system with vanishing mobility. Delve into advanced mathematical concepts related to free boundary problems as presented during the Erwin Schrödinger International Institute's thematic programme. Learn about the theoretical framework connecting fluid dynamics through the Navier-Stokes equations with phase field models represented by the Allen-Cahn equation, specifically focusing on the behavior when mobility parameters approach zero. Gain insights into the rigorous mathematical treatment of interface evolution and the transition from diffuse to sharp interface descriptions in multiphase fluid systems.
