Exponential attractors for non-autonomous dissipative system
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概要
- 論文の詳細を見る
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.
- 社団法人 日本数学会の論文
- 2011-04-01
著者
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YAMAMOTO YOSHITAKA
Department of Molecular Biotechnology, Graduate School of Advanced Sciences of Matter, Hiroshima Uni
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Yagi Atsushi
Department Of Applied Physics Graduate School Of Engineering Osaka University
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Efendiev Messoud
Helmholtz-Zentrum München, Institute of Biomathematics and Biometry
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Efendiev Messoud
Helmholtz-zentrum Munchen Institute Of Biomathematics And Biometry
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Yamamoto Yoshitaka
Department Of Information Physical Science Graduate School Of Information Science And Technology Osa
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Yamamoto Yoshitaka
Department Of Information And Physical Science Graduate School Of Information Science And Technology
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Yamamoto Yoshitaka
Department Of Electrical Engineering Osaka Institute Of Technology
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Yamamoto Yoshitaka
Department of Electrical and Electronic Engineering, Daido University, Nagoya 457-8530, Japan
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