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Type: Artigo de periódico
Title: On the asymptotic behaviour of the 2D Navier-Stokes equations with Navier friction conditions towards Euler equations
Author: Guillen-Gonzalez, F
Planas, G
Abstract: In this paper, the two dimensional incompressible Navier-Stokes problem in a bounded domain subject to nonhomogeneous Navier friction boundary conditions is considered. We establish the existence, uniqueness, and regularity of solutions to such problem and we demonstrate convergence towards the incompressible 2D Euler equations in the inviscid limit. We also show the stability and convergence of a time discrete implicit Euler's scheme as both parameters, viscosity and time step, go to zero. (C) 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Subject: Navier-Stokes equations
Euler equations
inviscid limit
vorticity formulation
discrete in time schemes
Country: Alemanha
Editor: Wiley-v C H Verlag Gmbh
Rights: fechado
Identifier DOI: 10.1002/zamm.200800089
Date Issue: 2009
Appears in Collections:Unicamp - Artigos e Outros Documentos

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