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Type: Artigo de periódico
Title: Vanishing Viscosity Limit For Incompressible Flow Inside A Rotating Circle
Author: Lopes Filho M.C.
Mazzucato A.L.
Nussenzveig Lopes H.J.
Abstract: In this article we consider circularly symmetric incompressible viscous flow in a disk. The boundary condition is no-slip with respect to a prescribed time-dependent rotation of the boundary about the center of the disk. We prove that, if the prescribed angular velocity of the boundary has finite total variation, then the Navier-Stokes solutions converge strongly in L2 to the corresponding stationary solution of the Euler equations when viscosity vanishes. Our approach is based on a semigroup treatment of the symmetry-reduced scalar equation. © 2008 Elsevier B.V. All rights reserved.
Rights: fechado
Identifier DOI: 10.1016/j.physd.2008.03.009
Date Issue: 2008
Appears in Collections:Unicamp - Artigos e Outros Documentos

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