The global attractor of a dissipative nonlinear evolution system
type: Item
instance of: scholarly article
title: The global attractor of a dissipative nonlinear evolution system
zbMATH Open document ID: 0932.37067
author: V. Pereyra
published in: Journal of Mathematical Analysis and Applications
publication date: 2000-03-19T00:00:00Z
review text: The paper deals with long-time behaviour of dynamical systems generated by a dissipative nonlinear evolution system given by strongly coupled parabolic equations. To this end the authors study global classical solutions using a priori estimate technique. Moreover they prove uniqueness theorems, which allow them to define semigroups corresponding to the systems of parabolic equations mentioned above. Under some natural conditions on nonlinearities the authors prove the existence of a global attractor, and its regular properties.
Mathematics Subject Classification ID: 37L30
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 35K45
zbMATH DE Number: 1354754
zbMATH Keywords: dissipative nonlinear semigroup
zbMATH Keywords: strongly coupled equations
zbMATH Keywords: global attractor
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: jmaa.1999.6513
OpenAlex ID: W2080177789
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DOI: 10.1006/JMAA.1999.6513
description: scientific article; zbMATH DE number 1354754