Continuidade do conjunto de equilíbrios de um problema parabólico não linear com termos concentrados na fronteira

Detalhes bibliográficos
Autor(a) principal: Morales Ramirez, Daniel Alberto [UNIFESP]
Data de Publicação: 2021
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UNIFESP
Texto Completo: https://repositorio.unifesp.br/handle/11600/61919
Resumo: Neste trabalho, analisamos o comportamento das soluções de um problema parabólico não linear, quando alguns termos de reação estão concentrados em uma vizinhança da fronteira do domínio e esta vizinhança contrai-se a fronteira, quando um parâmetro tende a zero. Mais precisamente, provamos a continuidade do conjunto de equilíbrios do problema parabólico não linear. Os pontos de equilíbrios são as soluções de um problema elíptico não linear associado ao problema parabólico.
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spelling Morales Ramirez, Daniel Alberto [UNIFESP]http://lattes.cnpq.br/8350397063604657http://lattes.cnpq.br/2376991776742062http://lattes.cnpq.br/4748340839963994Aragão, Gleciane da SilvaAstudillo Rojas, María RosarioSão José dos Campos2021-09-09T11:39:58Z2021-09-09T11:39:58Z2021-07-23https://repositorio.unifesp.br/handle/11600/61919Neste trabalho, analisamos o comportamento das soluções de um problema parabólico não linear, quando alguns termos de reação estão concentrados em uma vizinhança da fronteira do domínio e esta vizinhança contrai-se a fronteira, quando um parâmetro tende a zero. Mais precisamente, provamos a continuidade do conjunto de equilíbrios do problema parabólico não linear. Os pontos de equilíbrios são as soluções de um problema elíptico não linear associado ao problema parabólico.In this work, we analyze the behavior of the solutions of a nonlinear parabolic problem, when some reaction terms are concentrated in a neighborhood of the domain boundary and this neighborhood shrinks to the boundary as a parameter goes to zero. More precisely, we prove the continuity of the equilibrium set of the nonlinear parabolic problem. The equilibrium points are the solutions of a nonlinear elliptic problem associated to the parabolic problem.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)103 f.porUniversidade Federal de São Pauloproblema parabólico não linearproblema elípticoconcentraçãocontinuidadeequilíbriosContinuidade do conjunto de equilíbrios de um problema parabólico não linear com termos concentrados na fronteiraContinuity of the equilibrium set of a nonlinear parabolic problem with terms concentrated at the boundaryinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UNIFESPinstname:Universidade Federal de São Paulo (UNIFESP)instacron:UNIFESPInstituto de Ciência e Tecnologia (ICT)Matemática Pura e AplicadaCiências Exatas e da TerraAnálise - Equações Diferenciais 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dc.title.pt_BR.fl_str_mv Continuidade do conjunto de equilíbrios de um problema parabólico não linear com termos concentrados na fronteira
dc.title.alternative.pt_BR.fl_str_mv Continuity of the equilibrium set of a nonlinear parabolic problem with terms concentrated at the boundary
title Continuidade do conjunto de equilíbrios de um problema parabólico não linear com termos concentrados na fronteira
spellingShingle Continuidade do conjunto de equilíbrios de um problema parabólico não linear com termos concentrados na fronteira
Morales Ramirez, Daniel Alberto [UNIFESP]
problema parabólico não linear
problema elíptico
concentração
continuidade
equilíbrios
title_short Continuidade do conjunto de equilíbrios de um problema parabólico não linear com termos concentrados na fronteira
title_full Continuidade do conjunto de equilíbrios de um problema parabólico não linear com termos concentrados na fronteira
title_fullStr Continuidade do conjunto de equilíbrios de um problema parabólico não linear com termos concentrados na fronteira
title_full_unstemmed Continuidade do conjunto de equilíbrios de um problema parabólico não linear com termos concentrados na fronteira
title_sort Continuidade do conjunto de equilíbrios de um problema parabólico não linear com termos concentrados na fronteira
author Morales Ramirez, Daniel Alberto [UNIFESP]
author_facet Morales Ramirez, Daniel Alberto [UNIFESP]
author_role author
dc.contributor.authorLattes.pt_BR.fl_str_mv http://lattes.cnpq.br/8350397063604657
dc.contributor.advisorLattes.pt_BR.fl_str_mv http://lattes.cnpq.br/2376991776742062
dc.contributor.advisor-coLattes.pt_BR.fl_str_mv http://lattes.cnpq.br/4748340839963994
dc.contributor.author.fl_str_mv Morales Ramirez, Daniel Alberto [UNIFESP]
dc.contributor.advisor1.fl_str_mv Aragão, Gleciane da Silva
dc.contributor.advisor-co1.fl_str_mv Astudillo Rojas, María Rosario
contributor_str_mv Aragão, Gleciane da Silva
Astudillo Rojas, María Rosario
dc.subject.por.fl_str_mv problema parabólico não linear
problema elíptico
concentração
continuidade
equilíbrios
topic problema parabólico não linear
problema elíptico
concentração
continuidade
equilíbrios
description Neste trabalho, analisamos o comportamento das soluções de um problema parabólico não linear, quando alguns termos de reação estão concentrados em uma vizinhança da fronteira do domínio e esta vizinhança contrai-se a fronteira, quando um parâmetro tende a zero. Mais precisamente, provamos a continuidade do conjunto de equilíbrios do problema parabólico não linear. Os pontos de equilíbrios são as soluções de um problema elíptico não linear associado ao problema parabólico.
publishDate 2021
dc.date.accessioned.fl_str_mv 2021-09-09T11:39:58Z
dc.date.available.fl_str_mv 2021-09-09T11:39:58Z
dc.date.issued.fl_str_mv 2021-07-23
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 https://repositorio.unifesp.br/handle/11600/61919
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