| dc.creator | Guillen-Gonzalez, F | |
| dc.creator | Rodriguez-Bellido, MA | |
| dc.creator | Rojas-Medar, MA | |
| dc.date | 2004 | |
| dc.date | 2014-11-14T05:08:04Z | |
| dc.date | 2015-11-26T16:04:33Z | |
| dc.date | 2014-11-14T05:08:04Z | |
| dc.date | 2015-11-26T16:04:33Z | |
| dc.date.accessioned | 2018-03-28T22:53:39Z | |
| dc.date.available | 2018-03-28T22:53:39Z | |
| dc.identifier | Annales De L Institut Henri Poincare-analyse Non Lineaire. Gauthier-villars/editions Elsevier, v. 21, n. 6, n. 807, n. 826, 2004. | |
| dc.identifier | 0294-1449 | |
| dc.identifier | WOS:000224946500003 | |
| dc.identifier | 10.1016/j.anihpc.2003.11.002 | |
| dc.identifier | http://www.repositorio.unicamp.br/jspui/handle/REPOSIP/69028 | |
| dc.identifier | http://www.repositorio.unicamp.br/handle/REPOSIP/69028 | |
| dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/69028 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1265512 | |
| dc.description | The 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 Guillen-Gonzalez, Masmoudi and Rodriguez-Bellido [Differential Integral Equations 50 (2001)]. (C) 2004 Elsevier SAS. All rights reserved. | |
| dc.description | 21 | |
| dc.description | 6 | |
| dc.description | 807 | |
| dc.description | 826 | |
| dc.language | en | |
| dc.publisher | Gauthier-villars/editions Elsevier | |
| dc.publisher | Paris | |
| dc.publisher | França | |
| dc.relation | Annales De L Institut Henri Poincare-analyse Non Lineaire | |
| dc.relation | Ann. Inst. Henri Poincare-Anal. Non Lineaire | |
| dc.rights | aberto | |
| dc.rights | http://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy | |
| dc.source | Web of Science | |
| dc.subject | hydrostatic Stokes equations | |
| dc.subject | mixed boundary conditions | |
| dc.subject | non-smooth boundary data | |
| dc.subject | transposition method | |
| dc.subject | Primitive Equations | |
| dc.title | Hydrostatic Stokes equations with non-smooth data for mixed boundary conditions | |
| dc.type | Artículos de revistas | |
