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.