dc.creator | Acevedo, Paul | |
dc.creator | Amrouche, Chérif | |
dc.creator | Conca, Carlos | |
dc.creator | Ghosh, Amrita | |
dc.date.accessioned | 2019-10-11T17:29:58Z | |
dc.date.available | 2019-10-11T17:29:58Z | |
dc.date.created | 2019-10-11T17:29:58Z | |
dc.date.issued | 2019 | |
dc.identifier | Comptes Rendus Mathematique, Volumen 357, Issue 2, 2019, Pages 115-119 | |
dc.identifier | 1631073X | |
dc.identifier | 10.1016/j.crma.2018.12.002 | |
dc.identifier | https://repositorio.uchile.cl/handle/2250/171209 | |
dc.description.abstract | © 2018 Académie des sciences In this paper, we study the stationary Stokes and Navier–Stokes equations with non-homogeneous Navier boundary condition in a bounded domain Ω⊂R 3 of class C 1,1 from the viewpoint of the behavior of solutions with respect to the friction coefficient α. We first prove the existence of a unique weak solution (and strong) in W 1,p (Ω) (and W 2,p (Ω)) to the linear problem for all 1<p<∞ considering minimal regularity of α using some inf–sup condition concerning the rotational operator. Furthermore, we deduce uniform estimates of the solutions for large α which enables us to obtain the strong convergence of Stokes solutions with Navier slip boundary condition to the one with no-slip boundary condition as α→∞. Finally, we discuss the same questions for the non-linear system. | |
dc.language | en | |
dc.publisher | Elsevier Masson SAS | |
dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Chile | |
dc.source | Comptes Rendus Mathematique | |
dc.subject | Mathematics (all) | |
dc.title | Stokes and Navier–Stokes equations with Navier boundary condition Équations de Stokes et de Navier–Stokes avec la condition de Navier | |
dc.type | Artículos de revistas | |