Nodal parametrisation of analytic attractors

Citation
Pk. Friz et al., Nodal parametrisation of analytic attractors, DISCR C D S, 7(3), 2001, pp. 643-657
Citations number
31
Categorie Soggetti
Mathematics
Journal title
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN journal
10780947 → ACNP
Volume
7
Issue
3
Year of publication
2001
Pages
643 - 657
Database
ISI
SICI code
1078-0947(200107)7:3<643:NPOAA>2.0.ZU;2-2
Abstract
Friz and Robinson showed that analytic global attractors consisting of peri odic functions can be parametrised using the values of the solution at a fi nite number of points throughout the domain, a result applicable to the 2d Navier-Stokes equations with periodic boundary conditions. In this paper we extend the argument to cover any attractor consisting of analytic function s; in particular we are now able to treat the 2d Navier-Stokes equations wi th Dirichlet boundary conditions.