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Type: Artigo de periódico
Title: Vanishing viscosity limits and boundary layers for circularly symmetric 2D flows
Author: Lopes, MC
Mazzucato, AL
Lopes, HJN
Taylor, M
Abstract: We continue the work of Lopes Filho, Mazzucato and Nussenzveig Lopes [10] on the vanishing viscosity limit of circularly symmetric viscous flow in a disk with rotating boundary, shown there to converge to the inviscid limit in L(2)-norm as long as the prescribed angular velocity alpha(t) of the boundary has bounded total variation. Here we establish convergence in stronger L(2) and L(p)-Sobolev spaces, allow for more singular angular velocities a, and address the issue of analyzing the behavior of the boundary layer. This includes an analysis of concentration of vorticity in the vanishing viscosity limit. We also consider such flows on an annulus, whose two boundary components rotate independently.
Subject: Navier-Stokes
boundary layer
Country: EUA
Editor: Springer
Rights: fechado
Identifier DOI: 10.1007/s00574-008-0001-9
Date Issue: 2008
Appears in Collections:Unicamp - Artigos e Outros Documentos

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