Accession Number : ADA114549

Title :   Asymptotic Numerical Analysis for the Navier-Stokes Equations. I.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Foias,C ; Temam,R

PDF Url : ADA114549

Report Date : Jan 1982

Pagination or Media Count : 26

Abstract : Our aim in this work is to show that, in a 'permanent regime', the behaviour of a viscous incompressible fluid can be, in principle, determined by the study of a finite number of modes. It is proved that the behaviour for t yields infinity of the solution to the Navier-Stokes equations is completely determined by its projection on appropriate finite dimensional subspaces, corresponding to eigenspaces of the linear operator, or more general subspaces, including finite element subspaces. Some indications on the dimension of such subspaces are given.

Descriptors :   *Numerical analysis, *Asymptotic series, *Navier Stokes equations, *Fluids, Incompressibility, Viscosity, Linear algebraic equations, Finite element analysis, Eigenvalues, Viscous flow

Subject Categories : Numerical Mathematics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE