UPPER-BOUNDS ON THE NUMBER OF DETERMINING MODES, NODES, AND VOLUME ELEMENTS FOR THE NAVIER-STOKES EQUATIONS

Authors
JONES DA TITI ES
Citation
Da. Jones et Es. Titi, UPPER-BOUNDS ON THE NUMBER OF DETERMINING MODES, NODES, AND VOLUME ELEMENTS FOR THE NAVIER-STOKES EQUATIONS, Indiana University mathematics journal, 42(3), 1993, pp. 875-887
Citations number
21
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Indiana University mathematics journal → ACNP
ISSN journal
00222518
Volume
42
Issue
3
Year of publication
1993
Pages
875 - 887
Database
ISI
SICI code
0022-2518(1993)42:3<875:UOTNOD>2.0.ZU;2-8
Abstract
In this paper we present improved upper bounds on the number of determ ining Fourier modes, determining nodes and volume elements for the Nav ier-Stokes equations. The bounds presented here seem to agree with som e of the heuristic physical estimates conjectured by Manley and Treve.