Differential Equations and Numerical Analysis Seminar - 09/05/2012

Wednesday, 09 May 2012, 12:00 p.m.

Lecturer: Fernanda Cipriano, GFMUL e FCT/UNL

Title: "Boundary layer problem: Navier-Stokes equations and Euler equations".

Local: Room 1.5, Edifício VII
Faculdade de Ciências e Tecnologia, Quinta da Torre, Caparica

Abstract: This work is concerned with the boundary layer turbulence, which is an outstanding problem in fluid mechanics. We consider an incompressible viscous fluid in 2D domains with permeable walls. The permeability is described by the Navier slip condition. The goal is to study the fluid behavior at vanishing viscosity (large Reynold’s numbers). We show that the vanishing viscous limit is a solution of the Euler equations with the corresponding Navier slip condition on the inflow region of the boundary.
This is a joint work with Nikolai Chemetov.