Date: 17.11.2023 (Today).
Time and Venue: 16:30–17:30 Ramanujan Hall at TC.
Speaker: Dr. Debanjana Mitra, IIT Bombay
Title: Stabilization of time-periodic flows
Abstract: First, I shall explain the stability and stabilizability of an ODE around a periodic trajectory. A characterization of the stability of ODEs around a periodic trajectory using the Poincare map and Floquet theory will be discussed. Then, I shall explain the extension of the idea to the parabolic type of PDEs. In particular, as an application, the stabilization of the incompressible Navier-Stokes equation around a time-periodic trajectory will be discussed.