On the number of determining nodes for the 2D Navier-Stokes equations Academic Article uri icon

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. © 1992.

author list (cited authors)

  • Jones, D. A., & Titi, E. S.

citation count

  • 37

publication date

  • July 1992