Hydrostatic Stokes Equations With Non-smooth Date For Mixed Boundary Conditions

dc.creatorGuillen-Gonzalez F.
dc.creatorRodriguez-Bellido M.A.
dc.creatorRojas-Medar M.A.
dc.date2004
dc.date2015-06-26T14:23:47Z
dc.date2015-11-26T14:12:17Z
dc.date2015-06-26T14:23:47Z
dc.date2015-11-26T14:12:17Z
dc.date.accessioned2018-03-28T21:12:54Z
dc.date.available2018-03-28T21:12:54Z
dc.identifier
dc.identifierAnnales De L'institut Henri Poincare. Annales: Analyse Non Lineaire/nonlinear Analysis. , v. 21, n. 6, p. 807 - 826, 2004.
dc.identifier2941449
dc.identifier10.1016/j.anihpc.2003.11.002
dc.identifierhttp://www.scopus.com/inward/record.url?eid=2-s2.0-5744226324&partnerID=40&md5=c37c1c380f95db8b3a8ed0b4dcc506cc
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/94252
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/94252
dc.identifier2-s2.0-5744226324
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1241956
dc.descriptionThe main subject of this work is to study the concept of very weak solution for the hydrostatic Stokes system with mixed boundary conditions (non-smooth Neumann conditions on the rigid surface and homogeneous Dirichlet conditions elsewhere on the boundary). In the Stokes framework, this concept has been studied by Conca [Rev. Mat. Apl. 10 (1989)] imposing non-smooth Dirichlet boundary conditions. In this paper, we introduce the dual problem that turns out to be a hydrostatic Stokes system with non-free divergence condition. First, we obtain strong regularity for this dual problem (which can be viewed as a generalisation of the regularity results for the hydrostatic Stokes system with free divergence condition obtained by Ziane [Appl. Anal. 58 (1995)]). Afterwards, we prove existence and uniqueness of very weak solution for the (primal) problem. As a consequence of this result, the existence of strong solution for the non-stationary hydrostatic Navier-Stokes equations is proved, weakening the hypothesis over the time derivative of the wind stress tensor imposed by Guillén-González, Masmoudi and Rodríguez-Bellido [Differential Integral Equations 50 (2001)]. © 2004 Elsevier SAS. All rights reserved.
dc.description21
dc.description6
dc.description807
dc.description826
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dc.languageen
dc.publisher
dc.relationAnnales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis
dc.rightsaberto
dc.sourceScopus
dc.titleHydrostatic Stokes Equations With Non-smooth Date For Mixed Boundary Conditions
dc.typeArtículos de revistas


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