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Reduction of infinite dimensional systems to finite dimensions: Compact convergence approach

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dc.contributor.authorCarvalho, A. N.
dc.contributor.authorCholewa, J. W.
dc.contributor.authorLozada-Cruz, G. [UNESP]
dc.contributor.authorPrimo, M. R T
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionSilesian University
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Estadual de Maringá (UEM)
dc.date.accessioned2014-05-27T11:29:57Z
dc.date.available2014-05-27T11:29:57Z
dc.date.issued2013-07-10
dc.description.abstractWe consider parameter dependent semilinear evolution problems for which, at the limit value of the parameter, the problem is finite dimensional. We introduce an abstract functional analytic framework that applies to many problems in the existing literature for which the study of asymptotic dynamics can be reduced to finite dimensions via the invariant manifolds technique. Some practical models are considered to show wide applicability of the theory. © 2013 Society for Industrial and Applied Mathematics.en
dc.description.affiliationInstituto de Ciencias Matematicas e de Computacao Universidade de Sao Paulo-Campus de Sao Carlos, 13560-970 Sao Carlos SP
dc.description.affiliationInstitute of Mathematics Silesian University, 40-007 Katowice
dc.description.affiliationDepartamento de Matematica IBILCE, UNESP Universidade Estadual Paulista, 15054-000 Sao Jose do Rio Preto, Sao Paulo
dc.description.affiliationDepartamento de Matematica Universidade Estadual de Maringa, 87020-900 Maringa, Parana
dc.description.affiliationUnespDepartamento de Matematica IBILCE, UNESP Universidade Estadual Paulista, 15054-000 Sao Jose do Rio Preto, Sao Paulo
dc.format.extent600-638
dc.identifierhttp://dx.doi.org/10.1137/10080734X
dc.identifier.citationSIAM Journal on Mathematical Analysis, v. 45, n. 2, p. 600-638, 2013.
dc.identifier.doi10.1137/10080734X
dc.identifier.issn0036-1410
dc.identifier.issn1095-7111
dc.identifier.scopus2-s2.0-84879745024
dc.identifier.urihttp://hdl.handle.net/11449/75946
dc.identifier.wosWOS:000318405900007
dc.language.isoeng
dc.relation.ispartofSIAM Journal on Mathematical Analysis
dc.relation.ispartofjcr1.528
dc.relation.ispartofsjr2,431
dc.relation.ispartofsjr0,874
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.subjectAsymptotic behavior of solutions
dc.subjectAttractors
dc.subjectInvariant manifolds
dc.subjectPerturbations
dc.subjectSpatial homogeneity
dc.subjectMathematical techniques
dc.titleReduction of infinite dimensional systems to finite dimensions: Compact convergence approachen
dc.typeArtigo
dcterms.licensehttp://www.siam.org/journals/rcuk.php
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas