A nonlinear heat equation with temperature-dependent parameters

Detalhes bibliográficos
Autor(a) principal: Rincon, Mauro Antônio
Data de Publicação: 2004
Outros Autores: Límaco Ferrel, Juan Bautista, Liu, I-Shih
Tipo de documento: Relatório
Idioma: eng
Título da fonte: Repositório Institucional da UFRJ
Texto Completo: http://hdl.handle.net/11422/1984
Resumo: A nonlinear partial differential equation of the following form is considered: u¹ − div (a(u)∇ u) + b(u) |∇u|² = 0, which arises from the heat conduction problems with strong temperature-dependent material parameters, such as mass density, specific heat and heat conductivity. Existence, uniqueness and asymptotic behavior of initial boundary value problems under appropriate assumptions on the material parameters are established. Both one-dimensional and two-dimensional cases are considered.
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spelling Rincon, Mauro AntônioLímaco Ferrel, Juan BautistaLiu, I-Shih2017-05-12T13:44:56Z2023-11-30T03:00:28Z2004-12-31RINCON, M. A.; LÍMACO, J. ; LIU, I. S. A nonlinear heat equation with temperature-dependent parameters. Rio de Janeiro: NCE, UFRJ, 2004. 14 p. (Relatório Técnico, 05/04)http://hdl.handle.net/11422/1984A nonlinear partial differential equation of the following form is considered: u¹ − div (a(u)∇ u) + b(u) |∇u|² = 0, which arises from the heat conduction problems with strong temperature-dependent material parameters, such as mass density, specific heat and heat conductivity. Existence, uniqueness and asymptotic behavior of initial boundary value problems under appropriate assumptions on the material parameters are established. Both one-dimensional and two-dimensional cases are considered.Submitted by Elaine Almeida (elaine.almeida@nce.ufrj.br) on 2017-05-12T13:44:56Z No. of bitstreams: 1 05_04_000622333.pdf: 215765 bytes, checksum: fcfe675ce8bd8b0bdfd3b00633936fcd (MD5)Made available in DSpace on 2017-05-12T13:44:56Z (GMT). No. of bitstreams: 1 05_04_000622333.pdf: 215765 bytes, checksum: fcfe675ce8bd8b0bdfd3b00633936fcd (MD5) Previous issue date: 2004-12-31engRelatório Técnico NCECNPQ::CIENCIAS EXATAS E DA TERRA::CIENCIA DA COMPUTACAOEquações diferenciais parciais não linearesParametros de temperaturaA nonlinear heat equation with temperature-dependent parametersinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/report0504abertoBrasilInstituto Tércio Pacitti de Aplicações e Pesquisas Computacionaisinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRJinstname:Universidade Federal do Rio de Janeiro (UFRJ)instacron:UFRJLICENSElicense.txtlicense.txttext/plain; charset=utf-81853http://pantheon.ufrj.br:80/bitstream/11422/1984/3/license.txtdd32849f2bfb22da963c3aac6e26e255MD53ORIGINAL05_04_000622333.pdf05_04_000622333.pdfapplication/pdf215765http://pantheon.ufrj.br:80/bitstream/11422/1984/2/05_04_000622333.pdffcfe675ce8bd8b0bdfd3b00633936fcdMD52TEXT05_04_000622333.pdf.txt05_04_000622333.pdf.txtExtracted texttext/plain26209http://pantheon.ufrj.br:80/bitstream/11422/1984/4/05_04_000622333.pdf.txt27d23c9625bf335aca86f310659dac67MD5411422/19842023-11-30 00:00:28.495oai:pantheon.ufrj.br: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Repositório de PublicaçõesPUBhttp://www.pantheon.ufrj.br/oai/requestopendoar:2023-11-30T03:00:28Repositório Institucional da UFRJ - Universidade Federal do Rio de Janeiro (UFRJ)false
dc.title.en.fl_str_mv A nonlinear heat equation with temperature-dependent parameters
title A nonlinear heat equation with temperature-dependent parameters
spellingShingle A nonlinear heat equation with temperature-dependent parameters
Rincon, Mauro Antônio
CNPQ::CIENCIAS EXATAS E DA TERRA::CIENCIA DA COMPUTACAO
Equações diferenciais parciais não lineares
Parametros de temperatura
title_short A nonlinear heat equation with temperature-dependent parameters
title_full A nonlinear heat equation with temperature-dependent parameters
title_fullStr A nonlinear heat equation with temperature-dependent parameters
title_full_unstemmed A nonlinear heat equation with temperature-dependent parameters
title_sort A nonlinear heat equation with temperature-dependent parameters
author Rincon, Mauro Antônio
author_facet Rincon, Mauro Antônio
Límaco Ferrel, Juan Bautista
Liu, I-Shih
author_role author
author2 Límaco Ferrel, Juan Bautista
Liu, I-Shih
author2_role author
author
dc.contributor.author.fl_str_mv Rincon, Mauro Antônio
Límaco Ferrel, Juan Bautista
Liu, I-Shih
dc.subject.cnpq.fl_str_mv CNPQ::CIENCIAS EXATAS E DA TERRA::CIENCIA DA COMPUTACAO
topic CNPQ::CIENCIAS EXATAS E DA TERRA::CIENCIA DA COMPUTACAO
Equações diferenciais parciais não lineares
Parametros de temperatura
dc.subject.por.fl_str_mv Equações diferenciais parciais não lineares
Parametros de temperatura
description A nonlinear partial differential equation of the following form is considered: u¹ − div (a(u)∇ u) + b(u) |∇u|² = 0, which arises from the heat conduction problems with strong temperature-dependent material parameters, such as mass density, specific heat and heat conductivity. Existence, uniqueness and asymptotic behavior of initial boundary value problems under appropriate assumptions on the material parameters are established. Both one-dimensional and two-dimensional cases are considered.
publishDate 2004
dc.date.issued.fl_str_mv 2004-12-31
dc.date.accessioned.fl_str_mv 2017-05-12T13:44:56Z
dc.date.available.fl_str_mv 2023-11-30T03:00:28Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/report
format report
status_str publishedVersion
dc.identifier.citation.fl_str_mv RINCON, M. A.; LÍMACO, J. ; LIU, I. S. A nonlinear heat equation with temperature-dependent parameters. Rio de Janeiro: NCE, UFRJ, 2004. 14 p. (Relatório Técnico, 05/04)
dc.identifier.uri.fl_str_mv http://hdl.handle.net/11422/1984
identifier_str_mv RINCON, M. A.; LÍMACO, J. ; LIU, I. S. A nonlinear heat equation with temperature-dependent parameters. Rio de Janeiro: NCE, UFRJ, 2004. 14 p. (Relatório Técnico, 05/04)
url http://hdl.handle.net/11422/1984
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartof.pt_BR.fl_str_mv Relatório Técnico NCE
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Instituto Tércio Pacitti de Aplicações e Pesquisas Computacionais
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFRJ
instname:Universidade Federal do Rio de Janeiro (UFRJ)
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instname_str Universidade Federal do Rio de Janeiro (UFRJ)
instacron_str UFRJ
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reponame_str Repositório Institucional da UFRJ
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