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Type: Artigo
Title: Limits of the Stokes and Navier-Stokes equations in a punctured periodic domain
Author: Chipot, M.
Droniou, J.
Planas, G.
Robinson, J.C.
Xue, W.
Abstract: We treat three problems on a two-dimensional "punctured periodic domain": we take ωr = (-L,L)2rK, where r > 0 and K is the closure of an open connected set that is star-shaped with respect to 0 and has a C1 boundary. We impose periodic boundary conditions on the boundary of ω = (-L,L)2, and Dirichlet boundary conditions on (rK). In this setting we consider the Poisson equation, the Stokes equations, and the time-dependent Navier-Stokes equations, all with a fixed forcing function f, and examine the behavior of solutions as r → 0. In all three cases we show convergence of the solutions to those of the limiting problem, i.e. the problem posed on all of ω with periodic boundary conditions
Subject: Equações de Navier-Stokes
Country: Singapura
Editor: World Scientific
Rights: Fechado
Identifier DOI: 10.1142/S0219530519500118
Date Issue: 2020
Appears in Collections:IMECC - Artigos e Outros Documentos

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