## Communicated by J. C. Nedelec This work studies the three-dimensional Stokes problem expressed in terms of vorticity and velocity variables. We make general assumptions on the regularity and the topological structure of the flow domain: the boundary is Lipschitz and possibly non-connected and t
Vorticity–vector potential formulations of the Stokes equations in the half-space
✍ Scribed by Tahar Zamène Boulmezaoud; Mohamed Medjden
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 138 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.596
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✦ Synopsis
Abstract
SUMMARY
The main objective of this paper is to propose two vorticity–vector potential formulations of the Stokes problem in the half space of ℝ^3^. Weighted spaces are used for describing the behaviour at large distances.
RÉSUMÉ
On propose deux formulations de type vorticité–potentiel vecteur du problème de Stokes dans le demi‐espace de ℝ^3^. Les espaces de Sobolev avec poids sont utilisés pour décrire le comportement des fonctions à l'infini. Copyright © 2004 John Wiley & Sons, Ltd.
📜 SIMILAR VOLUMES
Some methods are proposed for solving the Navier-Stokes equations for two-dimensional, incompressible, flow using the velocityvorticity formulation. The main feature of the work is the solution of the equation of continuity using boundary-value techniques. This is possible because both of the veloci