UNSPECIFIED (2001) Nodal parametrisation of analytic attractors. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 7 (3). pp. 643-657. ISSN 1078-0947

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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 2d 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 2d Navier-Stokes equations with Dirichlet boundary conditions.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Publisher:	SOUTHWEST MISSOURI STATE UNIV
ISSN:	1078-0947
Date:	July 2001
Volume:	7
Number:	3
Number of Pages:	15
Page Range:	pp. 643-657
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/12342

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