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| DOI | 10.1016/J.JDE.2021.02.045 | ||||
| Año | 2021 | ||||
| Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
We study the stationary Stokes and Navier-Stokes equations with nonhomogeneous Navier boundary conditions in a bounded domain Omega subset of R-3 of class C-1,C-1. We prove the existence and uniqueness of weak and strong solutions in W-1,W-p(Omega) and W-2,W-p(Omega) for all 1 < p < infinity, considering minimal regularity on the friction coefficient alpha. Moreover, we deduce uniform estimates for the solution with respect to alpha which enables us to analyze the behavior of the solution when alpha -> infinity. (C) 2021 Elsevier Inc. All rights reserved.
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | Acevedo Tapia, P. | - |
Escuela Politec Nacl - Ecuador
Escuela Politécnica Nacional - Ecuador |
| 2 | Amrouche, C. | Hombre |
UMR CNRS 5142 - Francia
LMAP - Francia |
| 3 | CONCA-ROSENDE, CARLOS EUGENIO | Hombre |
Universidad de Chile - Chile
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| 4 | Ghosh, Amrita | Mujer |
UMR CNRS 5142 - Francia
Univ Basque Country - España LMAP - Francia Universidad del País Vasco - España |
| Agradecimiento |
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| The authors are grateful to the anonymous referee for drawing our attention to the paper of K. Pileckas (1983) and for all of the valuable comments which enabled us to improve and revise the original version. C.C. is partially supported by PFBasal-001 (CeBiB) and AFBasal170001 (CMM) projects and from the Regional Program STIC-AmSud Project NEMBICA-20-STIC-05. |
| The authors are grateful to the anonymous referee for drawing our attention to the paper of K. Pileckas (1983) and for all of the valuable comments which enabled us to improve and revise the original version. C.C. is partially supported by PFBasal-001 (CeBiB) and AFBasal170001 (CMM) projects and from the Regional Program STIC-AmSud Project NEMBICA-20-STIC-05 . |