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- Title
DIMENSION ESTIMATE OF THE EXPONENTIAL ATTRACTOR FOR THE CHEMOTAXIS?GROWTH SYSTEM*.
- Authors
MESSOUD EFENDIEV; ETSUSHI NAKAGUCHI; KOICHI OSAKI
- Abstract
AbstractIn this paper, we study an upper bound of the fractal dimension of the exponential attractor for the chemotaxis?growth system in a two-dimensional domain. We apply the technique given by Eden, Foias, Nicolaenko and Temam. Our results show that the bound is estimated by polynomial order with respect to the chemotactic coefficient in the equation similar to our preceding papers.
- Subjects
CHEMOTAXIS; POLYNOMIALS; ATTRACTORS (Mathematics); EXPONENTS; ALGEBRA; BIOCHEMISTRY
- Publication
Glasgow Mathematical Journal, 2008, Vol 50, Issue 3, p483
- ISSN
0017-0895
- Publication type
Article
- DOI
10.1017/S0017089508004357