ATTRACTORS FOR THE MODIFICATIONS OF THE 3-DIMENSIONAL NAVIER-STOKES EQUATIONS

Authors
LADYZHENSKAYA OA
Citation
Oa. Ladyzhenskaya, ATTRACTORS FOR THE MODIFICATIONS OF THE 3-DIMENSIONAL NAVIER-STOKES EQUATIONS, Philosophical transactions-Royal Society of London. Physical sciences and engineering, 346(1679), 1994, pp. 173-190
Citations number
18
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Philosophical transactions-Royal Society of London. Physical sciences and engineering → ACNP
ISSN journal
09628428
Volume
346
Issue
1679
Year of publication
1994
Pages
173 - 190
Database
ISI
SICI code
0962-8428(1994)346:1679<173:AFTMOT>2.0.ZU;2-L
Abstract
The modifications of the three-dimensional Navier-Stokes equations, wh ich I suggested earlier for the description of viscous fluid flows wit h large gradients of velocities, are considered. It is proved that the first initial-boundary value problem for these equations in any bound ed three-dimensional domain has a compact minimal global B-attractor. Some properties of the attractor are established.