Dynamics of 3D Navier-Stokes with constant delays

發布者:文明辦作者:發布時間:2019-07-03瀏覽次數:928


主講人:María J. Garrido-Atienza,Universidad de Sevilla


時間:2019年7月4日10:00


地點:3號樓332報告廳


舉辦單位:數理學院


內容介紹:In this talk we first study the existence and uniqueness of 3D Navier-Stokes  equations with a constant delay $\mu>0$. Further, we aim at investigating its  longtime behavior in terms of attractors. The study will strongly rely on the  study for the linearized Navier-Stokes system, and the relationship between the  discrete dynamical flow for the linearized system and the continuous flow  associated to the original system. We will see that, assuming that the viscosity  is sufficiently large, there exists a unique local attractor for the delayed 3D  Navier-Stokes equations that, moreover, reduces to a singleton set.