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Finite- and infinite-dimensional attractors for porous media equations

Efendiev, M and Zelik, S (2008) Finite- and infinite-dimensional attractors for porous media equations PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 96. 51 - 77. ISSN 0024-6115

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Abstract

The fractal dimension of the global attractors of porous media equations in bounded domains is studied. The conditions which guarantee this attractor to be finite dimensional are found and the examples of infinite-dimensional attractors that do not satisfy these conditions are constructed. The upper and lower bounds for the Kolmogorov epsilon-entropy of infinite-dimensional attractors are also obtained.

Item Type: Article
Uncontrolled Keywords: Science & Technology, Physical Sciences, Mathematics, REACTION-DIFFUSION SYSTEM, EXPONENTIAL ATTRACTORS, UNBOUNDED DOMAIN, PARABOLIC EQUATIONS
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Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Mr Adam Field
Date Deposited: 27 May 2010 14:41
Last Modified: 23 Sep 2013 18:33
URI: http://epubs.surrey.ac.uk/id/eprint/1439

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