Colloquium

Is dispersion a stabilizing or destabilizing mechanism? Landau-damping induced by fast background flows

  • Speaker: Edriss Titi (TEXAS A&M UNIVERSITY)

  • Time: Nov 15, 2018, 16:10-17:10

  • Location: Conference Room 415, Hui Yuan 3#

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. In addition, I will present some new results concerning two- and three-dimensional turbulent flows with high Reynolds numbers in periodic domains, which exhibit"Landua-damping" mechanism due to large spatial average in the initial data.