The 71st Midwest Partial Differential Equations Seminar May 11-12, 2013 Room TBA East Hall University of Michigan Ann Arbor, MI   Abstract Detail   Title: Stochastically induced Faraday waves I will discuss a method for determining the stability of the free surface of viscous capillary-gravity waves in a container that is vertically shaking. Specifically, the gravitational force is replaced by a stochastic process (colored noise). The problem is reduced to determining the moment-stability of a parametrically forced ODE, which we can solve by a perturbation argument involving the Fokker-Planck operator. The perturbation expansion is a series in the amplitude of the stochastic forcing, which is assumed to be small. Timothy Blass Carnegie Mellon University Email:  tblass@andrew.cmu.edu Phone: (412) 345-1533   BACK to Speaker Listing BACK to Conference Home   Sponsors National Science Foundation, Department of Mathematics at the University of Michigan