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

Texto completo
Autor(es):	Guillen-Gonzalez, Francisco ^[1] ; Planas, Gabriela ^[2] Número total de Autores: 2
Afiliação do(s) autor(es):	^[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 Número total de Afiliações: 2
Tipo de documento:	Artigo Científico
Fonte:	ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK; v. 89, n. 10, p. 810-822, OCT 2009.
Citações Web of Science:	3
Resumo
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)

Processo FAPESP:	07/51490-7 - Aspectos matemáticos da dinâmica dos fluidos incompressíveis
Beneficiário:	Milton da Costa Lopes Filho
Modalidade de apoio:	Auxílio à Pesquisa - Temático