Document Detail


The concept of minimal attractor and maximal attractors of partial differential equations of the Kuramoto-Sivashinsky type.
MedLine Citation:
PMID:  12779909     Owner:  NLM     Status:  Publisher    
Abstract/OtherAbstract:
The first part of the paper is devoted to definition of the smallest set that may be regarded as the attractor of the dissipative system. Simple properties of this set are discussed. In the second part some geometrical facts concerning attractors of the partial differential equations are revealed. They include well-known results for the two-dimensional Navier-Stokes equation and new ones for the Kuramoto-Sivashinsky and similar equations.
Authors:
Ju. S. Il'yashenko
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Publication Detail:
Type:  JOURNAL ARTICLE    
Journal Detail:
Title:  Chaos (Woodbury, N.Y.)     Volume:  1     ISSN:  1089-7682     ISO Abbreviation:  Chaos     Publication Date:  1991 Aug 
Date Detail:
Created Date:  2003-Jun-3     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  100971574     Medline TA:  Chaos     Country:  -    
Other Details:
Languages:  ENG     Pagination:  168-173     Citation Subset:  -    
Affiliation:
Department of Mathematics and Mechanics, Moscow State University, 117234 Moscow, USSR.
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