Applied Mathematics Colloquium: Dr. Justin Webster
In this talk, we begin by discussing recent results for simpler mathematical models of panel flutter, where the entire structural boundary is restricted. We then discuss the ways in which analysis breaks down when the trailing edge is free. We review two classes of pertinent beam models (including very recent nonlinear, nonlocal inextensible models). The analytical challenges in the analysis can be viewed as reflections of the difficulty in modeling the physics of the problem. Very results will be discussed that address well-posedness and in/stability of various cantilevered dynamics, along with recent numerical simulations.