Open AccessDimension Estimate for the Global Attractor of an Evolution Equation
Author(s) -
Renato Colucci,
Gerardo Chacón
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/541426
Subject(s) - mathematics , attractor , dimension (graph theory) , manifold (fluid mechanics) , evolution equation , global dimension , inertial frame of reference , mathematical analysis , pure mathematics , classical mechanics , mechanical engineering , physics , engineering
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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