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Exponential attractors for non-autonomous dissipative system.
J. Math. Soc. Jpn. 63, 647-673 (2011)
In this paper we will introduce a version of exponential attractor for non-autonomous equations as a time dependent set with uniformly bounded finite fractal dimension which is positively invariant and attracts every bounded set at an exponential rate. This is a natural generalization of the existent notion for autonomous equations. A generation theorem will be proved under the assumption that the evolution operator is a compact perturbation of a contraction. In the second half of the paper, these results will be applied to some non-autonomous chemotaxis system.
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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
exponential attractors; non-autonomous dynamical system; chemotaxis model
ISSN (print) / ISBN
0025-5645
e-ISSN
1881-1167
Quellenangaben
Volume: 63,
Issue: 2,
Pages: 647-673
Publisher
Mathematical Society of Japan
Non-patent literature
Publications
Reviewing status
Peer reviewed
Institute(s)
Institute of Biomathematics and Biometry (IBB)