## Abstract We consider a chemotaxisβgrowth model which takes into account diffusion, chemotaxis, production of chemical substance, and growth. We present estimates from above and below of the fractal dimension dimπ of the exponential attractor π in terms of the coefficients of the system. Comparis
Exponential attractor for a chemotaxis-growth system of equations
β Scribed by Koichi Osaki; Tohru Tsujikawa; Atsushi Yagi; Masayasu Mimura
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 205 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
## Abstract Our aim in this article is to give a construction of exponential attractors that are continuous under perturbations of the underlying semigroup. We note that the continuity is obtained without time shifts as it was the case in previous studies. Moreover, we obtain an explicit estimate f
Our aim in this Note is to prove the existence of exponential attractors for a class of evolution equations that includes some models of generalized Cahn-Hilliard equations described in 1.51 by M. Gurtin. Our proof is based on a decomposition of the difference of two solutions similar to that introd