On the inviscid limit for 2D incompressible flow with Navier friction condition

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dc.creatorFilho, M. C. Lopes
dc.creatorLopes, H. J. Nussenzveig
dc.creatorPlanas, G. V.
dc.date2003-07-22
dc.date.accessioned2026-07-07T04:59:50Z
dc.date.available2026-07-07T04:59:50Z
dc.descriptionIn [1], T. Clopeau, A. Mikelić, and R. Robert studied the inviscid limit of the 2D incompressible Navier-Stokes equations in a bounded domain subject to Navier friction-type boundary conditions. They proved that the inviscid limit satisfies the incompressible Euler equations and their result ultimately includes flows generated by bounded initial vorticities. Our purpose in this article is to adapt and, to some extent, simplify their argument in order to include $p$-th power integrable initial vorticities, with $p>2$. [1] Clopeau, T., Mikelić, A., Robert, R., {\it On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions}, Nonlinearity {\bf 11} (1998) 1625--1636.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0307295
dc.identifierhttp://arxiv.org/abs/math/0307295
dc.identifierSIAM J. Math. Analysis 36 (2005), 1130-1141
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68145
dc.subjectAnalysis of PDEs
dc.subject35Q30 (primary) 76D10 76D30 76B03 (secondary)
dc.titleOn the inviscid limit for 2D incompressible flow with Navier friction condition
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