We estimate the dimension of the global attractor of an evolution equation by the study of the evolution of the n-dimensional volumes under the flow. We compare these results with the estimate of the dimension of the inertial manifold.
Dimension estimate for the global attractor of an evolution equation / Colucci, Renato; Chacón, Gerardo R.. - In: ABSTRACT AND APPLIED ANALYSIS. - ISSN 1085-3375. - STAMPA. - 2012:(2012), pp. 1-18. [10.1155/2012/541426]