题  目： Smoothing estimates of 2d  incompressible  Navier-Stokes equations in bounded domains with applications

报告人：何凌冰 副教授（清华大学）

摘  要: Motivated by the study on the uniqueness problem of the coupled model, in this paper, we  revisit 2d incompressible Navier-Stokes equations  in bounded domains. In fact, we establish some new smoothing estimates to the Leray solution based on the spectral analysis of Stokes operator. To understand well these estimates, on  one hand, we establish some new Brezis-Waigner type inequalities  in general domain and in any dimension and disclose the connection  between both of them.   On the other hand, we show that these new estimates can be applied to prove the  existence and uniqueness of the weak solution for two coupled models: Boussinesq system with partial viscosity(no dissipation for the temperature) and Fluid/Particle system, in two dimension and in  bounded domains.

时  间：2018年12月6日 16:00-17:00

地  点：西大楼108

邀请人：吕勇 老师