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Is Dispersion a Stabilizing or Destabilizing Mechanism?

4:00 pm Thursday, February 5, 2015
Edriss Titi (Texas A&M University

Abstract: In this talk I will present a unified approach for the effect of fast rotation and dispersion as an averaging mechanism for, on the one hand, regularizing and stabilizing certain evolution equations, such as the Navier-Stokes and Burgers equations. On the other hand, I will also present some results in which large dispersion acts as a destabilizing mechanism for the long-time dynamics of certain dissipative evolution equations, such as the Kuramoto-Sivashinsky equation.

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