Dynamics of 3D Navier-Stokes with constant delays

发布者:文明办作者:发布时间:2019-07-03浏览次数:1246


主讲人:María J. Garrido-Atienza,Universidad de Sevilla


时间:2019年7月4日10:00


地点:3号楼332报告厅


举办单位:数理学院


内容介绍: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.