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Mar 13
3:30 PM - 4:30 PM KAP 414
Free-boundary problems in fluid dynamics Joint with the Department Colloquium
Steve Shkoller UC Davis

Free-boundary problems in fluid dynamics involve solutions to Euler equations on domains which are evolving in time and which are a priori unknown. The boundaries of these fluid domains have evolution laws which require knowledge of the fluid flow, while solving for the fluid flow, in turn, requires information about the geometry of the boundary. Such moving boundaries arise in the study of ocean waves, shock waves, phase transitions, and many other interesting wave patterns. In this lecture, I will survey some of the recent results in this area.

Previous colloquium: Can you hear the shape of a network? New directions in spectral graph theory Next colloquium: L^2 asymptotic stability of mild Navier-Stokes solutions.