Existence and uniqueness of solutions for the axisymmetric Navier-883 Stokes system

Authors
Gallagher, I Ibrahim, S Majdoub, M
Citation
I. Gallagher et al., Existence and uniqueness of solutions for the axisymmetric Navier-883 Stokes system, COMM PART D, 26(5-6), 2001, pp. 883-907
Citations number
21
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
ISSN journal
03605302 → ACNP
Volume
26
Issue
5-6
Year of publication
2001
Pages
883 - 907
Database
ISI
SICI code
0360-5302(2001)26:5-6<883:EAUOSF>2.0.ZU;2-A
Abstract
We study the Navier-Stokes equations, written in a domain of R-3 which is i nvariant under rotation around the vertical axis, or in the whole space 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 assumptions in the case of two space dimensions.