Article thumbnail
Location of Repository

Parametrising the attractor of the two-dimensional Navier-Stokes equations with a finite number of nodal values

By 

Abstract

We consider the solutions lying on the global attractor of the two-dimensional Navier-Stokes equations with periodic boundary conditions and analytic forcing. We show that in this case the value of a solution at a finite number of nodes determines elements of the attractor uniquely, proving a conjecture due to Foias and Temam. Our results also hold for the complex Ginzburg-Landau equation, the Kuramoto-Sivashinsky equation, and reaction-diffusion equations with analytic nonlinearities. (C) 2001 Elsevier Science B.V. All rights reserved

Topics: QA, QC
Publisher: ELSEVIER SCIENCE BV
OAI identifier: oai:wrap.warwick.ac.uk:12526
Sorry, our data provider has not provided any external links therefore we are unable to provide a link to the full text.

Suggested articles


To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.