A SYMMETRIZED VELOCITY-VORTICITY FORMULAT ION OF THE 3-DIMENSIONAL STOKES SYSTEM

Authors
RUAS V QUARTAPELLE L ZHU J
Citation
V. Ruas et al., A SYMMETRIZED VELOCITY-VORTICITY FORMULAT ION OF THE 3-DIMENSIONAL STOKES SYSTEM, Comptes rendus de l'Academie des sciences. Serie II. Mecanique, physique, chimie, astronomie, 323(12), 1996, pp. 819-824
Citations number
11
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Comptes rendus de l'Academie des sciences. Serie II. Mecanique, physique, chimie, astronomie → ACNP
ISSN journal
12518069
Volume
323
Issue
12
Year of publication
1996
Pages
819 - 824
Database
ISI
SICI code
1251-8069(1996)323:12<819:ASVFIO>2.0.ZU;2-7
Abstract
The aim of this Note is to present a formulation of the Stokes system in terms of the variables velocity and vorticity, in a bounded three-d imensional domain, leading to the solution of symmetric problems only. This is basically achieved by the setting of a two-component vector b oundary problem in order to determine the solenoidal harmonic componen t of the vorticity. The treatment of the incompressible Navier-Stokes equations by means of this approach is straightforward.