Prof. Edriss S.Titi, gave a lecture titled“Is dispersion a stabilizing or destabilizing mechanism Landau-damping induced by fast background ows”at AMSS on 5, December 2017.
In this talk he presented 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, he also presented 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, he presented some new results concerning two- and three-dimensional turbulent flows with high Reynolds numbers in periodic domains, which exhibited "Landua-damping" mechanism due to large spatial average in the initial data.
Prof. Edriss S.Titi is fromTexas A&M University and The Weizmann Institute of Science.