Probabilistic estimates for the two-dimensional stochastic Navier-Stokes equations

Authors
Bricmont, J Kupiainen, A Lefevere, R
Citation
J. Bricmont et al., Probabilistic estimates for the two-dimensional stochastic Navier-Stokes equations, J STAT PHYS, 100(3-4), 2000, pp. 743-756
Citations number
12
Categorie Soggetti
Physics
Journal title
JOURNAL OF STATISTICAL PHYSICS
ISSN journal
00224715 → ACNP
Volume
100
Issue
3-4
Year of publication
2000
Pages
743 - 756
Database
ISI
SICI code
0022-4715(200008)100:3-4<743:PEFTTS>2.0.ZU;2-S
Abstract
We consider the Navier-Stokes equation on a two-dimensional torus with a ra ndom force, white noise in time, and analytic in space, for arbitrary Reyno lds number R. We prove probabilistic estimates For the long-time behavior o f the solutions that imply bounds For the dissipation scale and energy spec trum as R --> infinity.