Dynamics of 3D Navier-Stokes with constant delays


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




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.