Jeffrey Rauch : Parametric Resonance for the Wave Equation

Posted by Alexey Cheskidov , part of the Departmental Colloquium.

At

Oct. 28, 2011, 3 p.m.

In

SEO 636

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.