𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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

No coin nor oath required. For personal study only.

✦ 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


Vorticity-velocity formulations of the S
✍ A. Ern; J.-L. Guermond; L. Quartapelle 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 138 KB 👁 2 views

## 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

Methods of Solution of the Velocity-Vort
✍ S.C.R. Dennis; J.D. Hudson 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 355 KB

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