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Inertial manifolds with and without delay

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UNSPECIFIED (1999) Inertial manifolds with and without delay. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 5 (4). pp. 813-824. ISSN 1078-0947

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Abstract

This article discusses the relationship between the inertial manifolds "with delay" introduced by Debussche & Temam, and the standard definition. In particular, the "multi-valued" manifold of the same paper is shown to arise naturally from the manifolds "with delay" when considering issues of convergence as the delay time tends to infinity. This leads to a new characterization of the multi-valued manifold, which allows a fuller understanding of its structure.

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: October 1999
Volume: 5
Number: 4
Number of Pages: 12
Page Range: pp. 813-824
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/13645

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