Peter K. Friz - Trinity College, Cambridge CB2 1TQ, United Kingdom (email)
Abstract: Friz and Robinson showed that analytic global attractors consisting of periodic functions can be parametrised using the values of the solution at a finite number of points throughout the domain, a result applicable to the $2$d Navier-Stokes equations with periodic boundary conditions. In this paper we extend the argument to cover any attractor consisting of analytic functions; in particular we are now able to treat the $2$d Navier-Stokes equations with Dirichlet boundary conditions.
Keywords: Determining nodes, global attractors, experimental observations, embedding
Received: July 2000; Revised: December 2000; Published: April 2001.
2013 IF (1 year).923