Finite- and infinite-dimensional attractors for porous media equations
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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 |
| Divisions: | Faculty of Engineering and Physical Sciences > Mathematics |
| Related URLs: | |
| ID Code: | 1439 |
| Deposited By: | Mr Adam Field |
| Deposited On: | 27 May 2010 15:41 |
| Last Modified: | 13 Apr 2013 14:47 |
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