## 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. Comparis
✦ LIBER ✦
Attractors of Viscous Balance Laws: Uniform Estimates for the Dimension
✍ Scribed by Jörg Härterich
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 479 KB
- Volume
- 142
- Category
- Article
- ISSN
- 0022-0396
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In a previous paper, we have studied the asymptotic behavior of a viscous fluid satisfying Navier's law on a periodic rugous boundary of period e and amplitude d e , with d e / e tending to zero. In the critical size, d e ∼e 3/2 , in order to obtain a strong approximation of the velocity and the pre