Impulsively Forced Faraday Waves
by
Anne Catlla
Northwestern University
Coauthors: Jeff Porter (University of Leeds), Mary Silber (Northwestern University)

We consider one-dimensional surface waves excited by time-periodic vertical acceleration of a fluid layer. We focus on periodic forcing functions composed of a sequence of delta function impulses and perform a weakly nonlinear analysis based on the Zhang-Vinals quasipotential model, valid for deep layers of low viscosity fluids, that yields fully analytical expressions for the bifurcation equation coefficients. We then use results for sinusoidal and multi-frequency forcing functions to better understand some of our results for impulsive forcing.

Date received: November 3, 2003