Axisymmetric solutions of the Navier-Stokes equations

Authors
Gallagher, I Ibrahim, S Majdoub, M
Citation
I. Gallagher et al., Axisymmetric solutions of the Navier-Stokes equations, CR AC S I, 330(9), 2000, pp. 791-794
Citations number
13
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
330
Issue
9
Year of publication
2000
Pages
791 - 794
Database
ISI
SICI code
0764-4442(20000501)330:9<791:ASOTNE>2.0.ZU;2-7
Abstract
We study the tridimensional Navier-Stokes equations, written in a domain wh ich is invariant under rotation around the vertical axis, or in the whole s pace R-3; the solutions seeked are also invariant by that rotation, and we look for conditions on the initial data which are close to the natural assu mptions in the case of two space dimensions. (C) 2000 Academie des sciences /Editions scientifiques et medicales Elsevier SAS.