DIMENSION ESTIMATE OF THE EXPONENTIAL ATTRACTOR FOR THE CHEMOTAXIS–GROWTH SYSTEM*

EFENDIEV, MESSOUD ; NAKAGUCHI, ETSUSHI ; OSAKI, KOICHI

Glasgow mathematical journal, Tome 50 (2008) no. 3, pp. 483-497

Résumé

In 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.

Détail

DOI : 10.1017/S0017089508004357

Mots-clés : 35K15, 35K57, 37L30

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