Dimension estimate of the exponential attractor for the chemotaxisgrowth system

Abstract

In this paper, we study an upper bound of the fractal dimension of the exponential attractor for the chemotaxisgrowth 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. © 2008 Glasgow Mathematical Journal Trust.