Dimension Estimate for the Global Attractor of an Evolution Equation

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.

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Bibliographic Details
Main Authors: Renato Colucci, Gerardo R. Chacón
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/541426
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