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Dimension estimate of the exponential attractor for the chemotaxis-growth system

✍ Scribed by Messoud Efendiev; Michael Kläre; Rupert Lasser

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
271 KB
Volume
30
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We consider a chemotaxis‐growth model which takes into account diffusion, chemotaxis, production of chemical substance, and growth. We present estimates from above and below of the fractal dimension dim𝔐 of the exponential attractor 𝔐 in terms of the coefficients of the system. Comparisons are made between the sizes of the global and exponential attractors. Numerical simulations are presented which confirm the analytical results obtained. Copyright © 2006 John Wiley & Sons, Ltd.

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