## 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
Estimate on the Dimension of Global Attractor for
β Scribed by Zai-Yun Zhang; Zhen-Hai Liu; Xiu-Jin Miao
- Publisher
- Springer Netherlands
- Year
- 2008
- Tongue
- English
- Weight
- 360 KB
- Volume
- 110
- Category
- Article
- ISSN
- 0167-8019
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π SIMILAR VOLUMES
Our aim in this note is to construct an exponential attractor of optimal (with respect to the dissipation parameter) fractal dimension for dissipative reaction-diffusion systems without conditions on the growth of the nonlinear term. (~) 2003 Elsevier Science Ltd. All rights reserved.
The existence and estimate of the upper bound of the Hausdorff dimension of the global attractor for the strongly damped nonlinear wave equation with the Dirichlet boundary condition are considered by introducing a new norm in the phase space. The gained Hausdorff dimension decreases as the damping