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Applied Mathematics Seminar
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Edgar Knobloch
Department of Physics, University of California at Berkeley

Nearly inviscid Faraday waves

Wednesday 22th October 14:05-14:55pm, Eastern Avenue Lecture Theatre.

Faraday waves are gravity-capillary waves that form on the surface of a liquid when the container vibrates. These waves can organize themselves into a great variety of patterns with different spatio-temporal symmetries. The problem is particularly interesting in the nearly inviscid regime where the Faraday waves couple to a streaming flow driven in oscillatory viscous boundary layers; this flow in turn interacts with the waves responsible for the boundary layers, leading to a description of the system in terms of amplitude equations coupled to a Navier-Stokes-like equation for the streaming flow. Depending on the container shape these equations exhibit rich dynamics close to the onset of the Faraday instability.