Upper and Lower Bounds for the Kolmogorov Entropy of the Attractor for the RDE in an Unbounded Domain |
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| Authors: | M. A. Efendiev S. V. Zelik |
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| Affiliation: | (1) Mathematisches Institut A, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany;(2) Laboratoire de Mathématiques (SP2MI), Université de Poitiers, Boulevard Marie et Pierre Curie-Téléport 2, 86962 Chasseneuil Futuroscope Cedex, France |
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| Abstract: | The long-time behaviour of bounded solutions of a reaction-diffusion system in an unbounded domain    n, for which the nonlinearity f(u,  xu) explicitly depends on xu is studied. We prove the existence of a global attractor, fractal dimension of which is infinite, and give upper and lower bounds for the Kolmogorov entropy of the attractor and analyze the sharpness of these bounds. |
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| Keywords: | Kolmogorov's entropy reaction diffusion systems unbounded domains |
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