The dynamics of a one-dimensional parabolic problem versus the dynamics of its discretization

Detalhes bibliográficos
Autor(a) principal: Bruschi, S. M.
Data de Publicação: 2000
Outros Autores: Carvalho, A. N., Ruas, J. G.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1006/jdeq.2000.3878
http://hdl.handle.net/11449/25114
Resumo: In this paper we prove that the spatial discretization of a one dimensional system of parabolic equations. with suitably small step size, contains exactly the same asymptotic dynamics as the continuous problem. (C) 2000 Academic Press.
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spelling The dynamics of a one-dimensional parabolic problem versus the dynamics of its discretizationparabolic equationsspatial discretizationtopological equivalence of attractorsIn this paper we prove that the spatial discretization of a one dimensional system of parabolic equations. with suitably small step size, contains exactly the same asymptotic dynamics as the continuous problem. (C) 2000 Academic Press.UNESP, Dept Matemat, IGCE, BR-13506700 Rio Claro, SP, BrazilUSP, Dept Matemat, ICMC, BR-13560970 Sao Carlos, SP, BrazilUNESP, Dept Matemat, IGCE, BR-13506700 Rio Claro, SP, BrazilAcademic Press Inc.Universidade Estadual Paulista (Unesp)Universidade de São Paulo (USP)Bruschi, S. M.Carvalho, A. N.Ruas, J. G.2014-02-26T17:10:55Z2014-05-20T14:17:04Z2014-02-26T17:10:55Z2014-05-20T14:17:04Z2000-11-20info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article67-92application/pdfhttp://dx.doi.org/10.1006/jdeq.2000.3878Journal of Differential Equations. San Diego: Academic Press Inc., v. 168, n. 1, p. 67-92, 2000.0022-0396http://hdl.handle.net/11449/2511410.1006/jdeq.2000.3878WOS:000165689900006WOS000165689900006.pdfWeb of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Differential Equations1.7822,525info:eu-repo/semantics/openAccess2023-12-01T06:14:34Zoai:repositorio.unesp.br:11449/25114Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-12-01T06:14:34Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv The dynamics of a one-dimensional parabolic problem versus the dynamics of its discretization
title The dynamics of a one-dimensional parabolic problem versus the dynamics of its discretization
spellingShingle The dynamics of a one-dimensional parabolic problem versus the dynamics of its discretization
Bruschi, S. M.
parabolic equations
spatial discretization
topological equivalence of attractors
title_short The dynamics of a one-dimensional parabolic problem versus the dynamics of its discretization
title_full The dynamics of a one-dimensional parabolic problem versus the dynamics of its discretization
title_fullStr The dynamics of a one-dimensional parabolic problem versus the dynamics of its discretization
title_full_unstemmed The dynamics of a one-dimensional parabolic problem versus the dynamics of its discretization
title_sort The dynamics of a one-dimensional parabolic problem versus the dynamics of its discretization
author Bruschi, S. M.
author_facet Bruschi, S. M.
Carvalho, A. N.
Ruas, J. G.
author_role author
author2 Carvalho, A. N.
Ruas, J. G.
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universidade de São Paulo (USP)
dc.contributor.author.fl_str_mv Bruschi, S. M.
Carvalho, A. N.
Ruas, J. G.
dc.subject.por.fl_str_mv parabolic equations
spatial discretization
topological equivalence of attractors
topic parabolic equations
spatial discretization
topological equivalence of attractors
description In this paper we prove that the spatial discretization of a one dimensional system of parabolic equations. with suitably small step size, contains exactly the same asymptotic dynamics as the continuous problem. (C) 2000 Academic Press.
publishDate 2000
dc.date.none.fl_str_mv 2000-11-20
2014-02-26T17:10:55Z
2014-05-20T14:17:04Z
2014-02-26T17:10:55Z
2014-05-20T14:17:04Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1006/jdeq.2000.3878
Journal of Differential Equations. San Diego: Academic Press Inc., v. 168, n. 1, p. 67-92, 2000.
0022-0396
http://hdl.handle.net/11449/25114
10.1006/jdeq.2000.3878
WOS:000165689900006
WOS000165689900006.pdf
url http://dx.doi.org/10.1006/jdeq.2000.3878
http://hdl.handle.net/11449/25114
identifier_str_mv Journal of Differential Equations. San Diego: Academic Press Inc., v. 168, n. 1, p. 67-92, 2000.
0022-0396
10.1006/jdeq.2000.3878
WOS:000165689900006
WOS000165689900006.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Differential Equations
1.782
2,525
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 67-92
application/pdf
dc.publisher.none.fl_str_mv Academic Press Inc.
publisher.none.fl_str_mv Academic Press Inc.
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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