Existence of global stochastic flow and attractors for Navier-Stokes equations

Authors
Capinski, M Cutland, NJ
Citation
M. Capinski et Nj. Cutland, Existence of global stochastic flow and attractors for Navier-Stokes equations, PROB TH REL, 115(1), 1999, pp. 121-151
Citations number
16
Categorie Soggetti
Mathematics
Journal title
PROBABILITY THEORY AND RELATED FIELDS
ISSN journal
01788051 → ACNP
Volume
115
Issue
1
Year of publication
1999
Pages
121 - 151
Database
ISI
SICI code
0178-8051(199909)115:1<121:EOGSFA>2.0.ZU;2-B
Abstract
For 2-D stochastic Navier-Stokes equations on the torus with multiplicative noise we construct a perfect cocycle and show the existence of global rand om compact attractors. The equations considered do not admit a pathwise met hod of solution.