On the number of determining nodes for the 2D Navier-Stokes equations

Don A. Jones, Edriss S. Titi

Research output: Contribution to journalArticle

30 Scopus citations

Abstract

It is known that the solutions of the 2D Navier-Stokes equations, in bounded domains, are determined by a finite discrete set of nodal values. That is if the large time behavior of the solutions to the Navier-Stokes equations is known on an appropriate finite discrete set, then the large time behavior of the solution itself is totally determined. Here, an upper-bound is rigorously established for the number of nodes needed to determine the solutions of the Navier-Stokes equations in two dimensions with periodic boundary conditions.

Original languageEnglish (US)
Pages (from-to)72-88
Number of pages17
JournalJournal of Mathematical Analysis and Applications
Volume168
Issue number1
DOIs
StatePublished - Jul 15 1992
Externally publishedYes

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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