Distinguished Lecture——Is dispersion a stabilizing or destabilizing mechanism?
报告人：Edriss S. Titi (University of Cambridge)
时间：2025-12-31 16:00-17:00
地点：智华楼四元厅
报告摘要：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 Euler, 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 enhanced dissipation mechanism due to large spatial average in the initial data – a phenomenon which is similar to the “Landau-damping” effect.
报告人介绍：Edriss S. Titi. Holds the Nonlinear Mathematical Sciences Professorial Chair at the University of Cambridge, UK. He is a Fellow of the American Mathematical Society, the Society of Industrial and Applied Mathematics, the John Simon Guggenheim Memorial Foundation, USA, and the Institute of Physics, UK. He is recipient of many international awards including the Humboldt Research Award and the Einstein Visiting Fellow, Germany.
Titi’s research in applied and computational mathematics lies at the interface between rigorous applied analysis and physical applications. Specifically, in studying the Euler, Navier-Stokes, and other related geophysical and turbulence models.
