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[00864] Stabilization of time-periodic flows

  • Session Time & Room : 5C (Aug.25, 13:20-15:00) @A207
  • Type : Contributed Talk
  • Abstract : At 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.
  • Classification : 93B52, 93D15, 35B10, 34H15, 76D55
  • Format : Talk at Waseda University
  • Author(s) :
    • Debanjana Mitra (Department of Mathematics, IIT Bombay )