Academic Editor: Saad A. Ragab
Copyright © 2010 Emil Novruzov. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
For a rapidly spatially oscillating nonlinearity we compare solutions of non-Newtonian filtration equation with solutions of the homogenized, spatially averaged equation
. Based on an -independent a priori estimate, we prove that uniformly for all . Besides, we give explicit estimate for the distance between the nonhomogenized and the homogenized attractors in terms of the parameter ; precisely, we show fractional-order semicontinuity of the global attractors for .