Analysis and its Applications Seminar
On the Stability of Roll Waves
Roll-waves are a well observed hydrodynamic instability occurring in inclined thin film flow, often mathematically described as periodic traveling wave solutions of either the viscous or inviscid St. Venant system. In this talk, I will discuss recent progress concerning the stability of both viscous and, if time allows, inviscid roll-waves in a variety of asymptotic regimes, including near the onset of hydrodynamic instability and large-Froude number analysis.
This is joint work with Blake Barker (BYU), Pascal Noble (University of Toulouse), L. Miguel Rodrigues (University of Rennes), Zhao Yang (IU) and Kevin Zumbrun (IU).