On the asymptotic behaviour of the 2D Navier-Stokes equations with Navier friction conditions towards Euler equations

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Author(s):	Guillen-Gonzalez, Francisco ^[1] ; Planas, Gabriela ^[2] Total Authors: 2
Affiliation:	^[1] Univ Seville, Dept Ecuac Diferenciales & Anal Numer, E-41080 Seville - Spain ^[2] Univ Estadual Campinas, Inst Matemat Estatist & Comp Cient, Dept Matemat, BR-13083859 Campinas, SP - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK; v. 89, n. 10, p. 810-822, OCT 2009.
Web of Science Citations:	3
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 (AU)

FAPESP's process:	07/51490-7 - Mathematical aspects of incompressible fluid dynamics
Grantee:	Milton da Costa Lopes Filho
Support Opportunities:	Research Projects - Thematic Grants