Juan M. Lopez, Dept. of Mathematics & Statistics, Arizona State University
July 16, 2003, 3 p.m.
Sala de Juntes, Ed. Mateu Orfila
We consider how time-periodic 2D flows may become unstable to 3D perturbations. The Karman vortex street, the 2D periodically shedding wake of a circular cylinder, is the prototypical example. We shall consider this as well as a periodically forced enclosed flow as examples to illustrate the abstract problem in equivariant bifurcations describing the 2D to 3D transitions. The talk will present results from normal form analysis, Floquet stability analysis, computations of the 3D Navier-Stokes equations, and laboratory experiments.