Weighted Hilbert spaces for the Stationary exterior Stokes problem with Navier slip boundary conditions

Abstract : In this paper, we analyse the exterior Stokes problem with the Navier slip boundary conditions, describing the flow of a viscous and incompressible fluid pas an obstacle where it is assumed that the fluid may slip at the boundary. Because the flow domain is unbounded, we set the problem in weighted spaces in order to control the behavior at infinity of the solutions. This functional framework also allows to prescribe various behaviors at infinity of the solutions (growth or decay). Existence and uniqueness of solutions are shown in a Hilbert setting which gives the tools for a possible numerical analysis of the problem. Weighted Korn's inequalities are the key point in order to study the variational problem.
Type de document :
Pré-publication, Document de travail
2018
Liste complète des métadonnées

Littérature citée [48 références]  Voir  Masquer  Télécharger

https://hal.archives-ouvertes.fr/hal-01788047
Contributeur : Ulrich Razafison <>
Soumis le : lundi 4 juin 2018 - 22:43:19
Dernière modification le : vendredi 6 juillet 2018 - 15:18:04
Document(s) archivé(s) le : mercredi 26 septembre 2018 - 15:28:48

Fichier

DMR_Stokes_NavierBC_v2.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-01788047, version 2

Collections

Citation

Anis Dhifaoui, Mohamed Meslameni, Ulrich Razafison. Weighted Hilbert spaces for the Stationary exterior Stokes problem with Navier slip boundary conditions. 2018. 〈hal-01788047v2〉

Partager

Métriques

Consultations de la notice

129

Téléchargements de fichiers

130