Atratores pullback para equações parabólicas semilineares em domínios não cilíndricos

Detalhes bibliográficos
Ano de defesa: 2016
Autor(a) principal: Lázaro, Heraclio Ledgar López [UNESP]
Orientador(a): Silva, Ricardo Parreira da [UNESP], Cruz, Germán Lozada [UNESP]
Banca de defesa: Não Informado pela instituição
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Universidade Estadual Paulista (Unesp)
Programa de Pós-Graduação: Não Informado pela instituição
Departamento: Não Informado pela instituição
País: Não Informado pela instituição
Palavras-chave em Português:
Palavras-chave em Inglês:
Link de acesso: http://hdl.handle.net/11449/136350
Resumo: The problem that we are going to study in this work, is motivated by the dynamics of differential equations nonautonomous. We will establish the existence and uniqueness of solution for a class of parabolic semilineares equations with Dirichlet boundary condition, in a family of domains that varies with time. In addition, certain hypotheses about the non-linearity, we will show the existence of a family of attractors pullback.
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spelling Lázaro, Heraclio Ledgar López [UNESP]Universidade Estadual Paulista (Unesp)Arita, Andréa Cristina ProkopczykFu, Ma ToSilva, Ricardo Parreira da [UNESP]Cruz, Germán Lozada [UNESP]2016-03-22T14:20:35Z2016-03-22T14:20:35Z2016-03-07http://hdl.handle.net/11449/13635000086836333004153071P09424175688206545The problem that we are going to study in this work, is motivated by the dynamics of differential equations nonautonomous. We will establish the existence and uniqueness of solution for a class of parabolic semilineares equations with Dirichlet boundary condition, in a family of domains that varies with time. In addition, certain hypotheses about the non-linearity, we will show the existence of a family of attractors pullback.O problema que vamos estudar neste trabalho é motivado pela dinâmica de equações diferenciais não autônomas. Vamos estabelecer a existência e unicidade de solução para uma classe de equaçõoes parabólicas semilineares com condição de fronteira de Dirichlet, em uma família de domínios que varia com o tempo. Além disso, sob certas hipóteses sobre a não linearidade, mostraremos a existência de uma família de atratores pullback.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)porUniversidade Estadual Paulista (Unesp)Equação de calor semilinearDomínio não cilíndricoSistema dinâmico não autônomoAtratores pullbackSemilinear heat equationNon-cylindrical domainNonautonomous dynamical systemPullback attractorAtratores pullback para equações parabólicas semilineares em domínios não cilíndricosAtractores pullback para ecuaciones parabólicas semilineales en dominios no cilíndricosPullback atractors to semilinear parabolic equations in non-cylindrical domainsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPMatemática - IBILCEAnálise aplicadaEquações Diferenciais ParciaisUniversidade Estadual Paulista (UNESP), Instituto de Biociências Letras e Ciências Exatas, São José do Rio PretoOnline9424175688206545Publication43c38943-bd6f-4fb6-a9a5-8482a1f632c0virtual::299361-143c38943-bd6f-4fb6-a9a5-8482a1f632c0virtual::299361-14782a4c4-7fef-42fc-b83d-1a732f91b4c4virtual::272390-14782a4c4-7fef-42fc-b83d-1a732f91b4c4virtual::272390-1ORIGINALlazaro_hll_me_sjrp.pdflazaro_hll_me_sjrp.pdfapplication/pdf1074830https://repositorio.unesp.br/bitstreams/6de6a5bd-4792-4a33-b465-9c3d0c212388/downloadeacc291c2e8f474bef30477ea2c47a2fMD53trueAnonymousREADLICENSElicense.txtWritten by org.dspace.content.LicenseUtilstext/plain; charset=utf-83065https://repositorio.unesp.br/bitstreams/acad1cc3-aa72-421d-b89f-ec75fa9328bf/downloadfcb606085172ca9f597b120bdd89e337MD52falseAnonymousREADTEXTlazaro_hll_me_sjrp.pdf.txtWritten by FormatFilter org.dspace.app.mediafilter.TikaTextExtractionFilter on 2023-10-23T06:09:50Z (GMT).Extracted texttext/plain111715https://repositorio.unesp.br/bitstreams/21b2a894-6a84-461a-9839-7b655f24c92e/download08896c75a32837f768ee56c0bfcd1461MD56falseAnonymousREADTHUMBNAILlazaro_hll_me_sjrp.pdf.jpgWritten by FormatFilter org.dspace.app.mediafilter.ImageMagickPdfThumbnailFilter on 2016-11-17T12:59:14Z (GMT).IM Thumbnailimage/jpeg4284https://repositorio.unesp.br/bitstreams/7c83dee7-db35-4ea6-ad74-e87666d69170/download3c00651775886fd0cd05d13aa344e38eMD55falseAnonymousREAD11449/1363502026-07-25T07:31:20.513287Zopen.accessoai:repositorio.unesp.br:11449/136350https://repositorio.unesp.brRepositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestrepositoriounesp@unesp.bropendoar:29462026-07-25T07:31:20Repositório Institucional da UNESP - 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dc.title.pt.fl_str_mv Atratores pullback para equações parabólicas semilineares em domínios não cilíndricos
dc.title.alternative.es.fl_str_mv Atractores pullback para ecuaciones parabólicas semilineales en dominios no cilíndricos
dc.title.alternative.en.fl_str_mv Pullback atractors to semilinear parabolic equations in non-cylindrical domains
title Atratores pullback para equações parabólicas semilineares em domínios não cilíndricos
spellingShingle Atratores pullback para equações parabólicas semilineares em domínios não cilíndricos
Lázaro, Heraclio Ledgar López [UNESP]
Equação de calor semilinear
Domínio não cilíndrico
Sistema dinâmico não autônomo
Atratores pullback
Semilinear heat equation
Non-cylindrical domain
Nonautonomous dynamical system
Pullback attractor
title_short Atratores pullback para equações parabólicas semilineares em domínios não cilíndricos
title_full Atratores pullback para equações parabólicas semilineares em domínios não cilíndricos
title_fullStr Atratores pullback para equações parabólicas semilineares em domínios não cilíndricos
title_full_unstemmed Atratores pullback para equações parabólicas semilineares em domínios não cilíndricos
title_sort Atratores pullback para equações parabólicas semilineares em domínios não cilíndricos
author Lázaro, Heraclio Ledgar López [UNESP]
author_facet Lázaro, Heraclio Ledgar López [UNESP]
author_role author
dc.contributor.institution.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.committeeMember.none.fl_str_mv Arita, Andréa Cristina Prokopczyk
Fu, Ma To
dc.contributor.author.fl_str_mv Lázaro, Heraclio Ledgar López [UNESP]
dc.contributor.advisor1.fl_str_mv Silva, Ricardo Parreira da [UNESP]
Cruz, Germán Lozada [UNESP]
contributor_str_mv Silva, Ricardo Parreira da [UNESP]
Cruz, Germán Lozada [UNESP]
dc.subject.por.fl_str_mv Equação de calor semilinear
Domínio não cilíndrico
Sistema dinâmico não autônomo
Atratores pullback
topic Equação de calor semilinear
Domínio não cilíndrico
Sistema dinâmico não autônomo
Atratores pullback
Semilinear heat equation
Non-cylindrical domain
Nonautonomous dynamical system
Pullback attractor
dc.subject.eng.fl_str_mv Semilinear heat equation
Non-cylindrical domain
Nonautonomous dynamical system
Pullback attractor
description The problem that we are going to study in this work, is motivated by the dynamics of differential equations nonautonomous. We will establish the existence and uniqueness of solution for a class of parabolic semilineares equations with Dirichlet boundary condition, in a family of domains that varies with time. In addition, certain hypotheses about the non-linearity, we will show the existence of a family of attractors pullback.
publishDate 2016
dc.date.accessioned.fl_str_mv 2016-03-22T14:20:35Z
dc.date.available.fl_str_mv 2016-03-22T14:20:35Z
dc.date.issued.fl_str_mv 2016-03-07
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/11449/136350
dc.identifier.aleph.none.fl_str_mv 000868363
dc.identifier.capes.none.fl_str_mv 33004153071P0
dc.identifier.lattes.none.fl_str_mv 9424175688206545
url http://hdl.handle.net/11449/136350
identifier_str_mv 000868363
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dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.publisher.none.fl_str_mv Universidade Estadual Paulista (Unesp)
publisher.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.source.none.fl_str_mv 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
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