Departmental Colloquium
Jeffrey Rauch
University of Michigan
Parametric Resonance for the Wave Equation
Abstract: Parametric resonance occurs when a family time dependent dynamics is explosive while each fixed time problem is conservative or dissipative. We describe historical examples including Turing's instability. And, the recent solution of the Cooper-Strauss conjecture that this phenomenon occurs for the linear wave equation with positive compactly supported smooth potentials periodic in time. Research with F. Colombini and V. Petkov.
Friday October 28, 2011 at 3:00 PM in SEO 636