Ergodicity of the 2D Navier-Stokes equations with random forcing

Authors
Bricmont, J Kupiainen, A Lefevere, R
Citation
J. Bricmont et al., Ergodicity of the 2D Navier-Stokes equations with random forcing, COMM MATH P, 224(1), 2001, pp. 65-81
Citations number
6
Categorie Soggetti
Physics
Journal title
COMMUNICATIONS IN MATHEMATICAL PHYSICS
ISSN journal
00103616 → ACNP
Volume
224
Issue
1
Year of publication
2001
Pages
65 - 81
Database
ISI
SICI code
0010-3616(200111)224:1<65:EOT2NE>2.0.ZU;2-H
Abstract
We consider the Navier-Stokes equation on a two dimensional torus with a ra ndom force, acting at discrete times and analytic in space, for arbitrarily small viscosity coefficient. We prove the existence and uniqueness of the invariant measure for this system as well as exponential mixing in time.