# Seminario di Equazioni Differenziali e Applicazioni: On Vanishing Viscosity Limits for The 3D Navier-Stokes Equations with Slip Boundary Conditions

## Giovedì 13 Febbraio 2014, ore 12:15 - Aula 1BC45 - Zhouping Xin

ARGOMENTI: Seminari

SEMINARIO DI EQUAZIONI DIFFERENZIALI E APPLICAZIONI

Giovedì 13 Febbraio 2014 alle ore 12:15 in aula 1BC45, Zhouping Xin (The Chinese University of Hong Kong) terrà un seminario dal titolo "On Vanishing Viscosity Limits for The 3D Navier-Stokes Equations with Slip Boundary Conditions"

Abstract
In this talk, I will discuss the problem of vanishing viscosity limits for 3-dimensional Navier-Stokes equations in general bounded smooth domains with a general class of slip boundary conditions which include the well-known Navier-Slip boundary conditions. The focus will be on the convergence of viscous solutions to the inviscid ones in the space $C([0,T], H^1(Omega))$. Weak viscous boundary layers may depend on the geometry of the curvature of the boundary. Some uniform estimates on the rate of convergence will be presented.

Rif. Int. M. Bardi, E. Feleqi, F. Ancona