DIRICHLET QUOTIENTS AND 2D PERIODIC NAVIER-STOKES EQUATIONS

Authors
CONSTANTIN P FOIAS C KUKAVICA I MAJDA AJ
Citation
P. Constantin et al., DIRICHLET QUOTIENTS AND 2D PERIODIC NAVIER-STOKES EQUATIONS, Journal de mathematiques pures et appliquees, 76(2), 1997, pp. 125-153
Citations number
18
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Journal de mathematiques pures et appliquees → ACNP
ISSN journal
00217824
Volume
76
Issue
2
Year of publication
1997
Pages
125 - 153
Database
ISI
SICI code
0021-7824(1997)76:2<125:DQA2PN>2.0.ZU;2-H
Abstract
We show that for the periodic 2D Navier-Stokes equations (NSE) the set of initial data for which the solution exists for all negative times and has exponential growth is rather rich. We study this set and show that it is dense in the phase space of the NSE. This yields to a posit ive answer to a question in [BT]. After an appropriate rescaling the l arge Reynolds limit dynamics on this set is Eulerian.