תאריך:
ה', 11/05/202314:30-15:30
Title: Is dispersion a stabilizing or destabilizing mechanism? Landau-damping induced by fast background flows
Abstract: In this talk I will present a unified approach for the effect of fast rotation and dispersion as an averaging mechanism for 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 results concerning two- and three-dimensional turbulent flows with high Reynolds numbers in periodic domains, which exhibit “Landau-damping” mechanism due to large spatial average in the initial data.
Live stream and recording: https://huji.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=630408ae-c655-4b1a-9e32-aff7005b4b20
Abstract: In this talk I will present a unified approach for the effect of fast rotation and dispersion as an averaging mechanism for 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 results concerning two- and three-dimensional turbulent flows with high Reynolds numbers in periodic domains, which exhibit “Landau-damping” mechanism due to large spatial average in the initial data.
Live stream and recording: https://huji.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=630408ae-c655-4b1a-9e32-aff7005b4b20