Exact solution to a Stefan-type problem for a generalized heat equation with the Thomson effect

Autores
Nauryz, Targyn; Kharin, Stanislav; Briozzo, Adriana Clotilde; Bollati, Julieta
Año de publicación
2025
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study a one-dimensional Stefan type problem which models the behavior of electromagneticelds and heat transfer in closed electrical contacts that arises, when an instantaneousexplosion of the micro-asperity occurs. This model involves vaporization, liquid and solid zones, inwhich the temperature satises a generalized heat equation with the Thomson eect. Accountingfor the nonlinear thermal coecient, the model also incorporates temperature-dependent electricalconductivity. By employing a similarity transformation, the Stefan-type problem is reduced to asystem of coupled nonlinear integral equations. The existence of a solution is established using thexed point theory in Banach spaces.
Fil: Nauryz, Targyn. Kazakh British Technical University; Kazajistán
Fil: Kharin, Stanislav. Kazakh British Technical University; Kazajistán
Fil: Briozzo, Adriana Clotilde. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina
Fil: Bollati, Julieta. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina
Materia
STEFAN PROBLEM
GENERALIZED HEAT EQUATION
THOMSON EFFECT
SIMILARITY SOLUTION
NONLINEAR INTEGRAL EQUATIONS
NOLINEAR THERMAL COEFFICIENT
FIXED POINT THEOREM
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/273861
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/273861
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Exact solution to a Stefan-type problem for a generalized heat equation with the Thomson effectNauryz, TargynKharin, StanislavBriozzo, Adriana ClotildeBollati, JulietaSTEFAN PROBLEMGENERALIZED HEAT EQUATIONTHOMSON EFFECTSIMILARITY SOLUTIONNONLINEAR INTEGRAL EQUATIONSNOLINEAR THERMAL COEFFICIENTFIXED POINT THEOREMhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We study a one-dimensional Stefan type problem which models the behavior of electromagneticelds and heat transfer in closed electrical contacts that arises, when an instantaneousexplosion of the micro-asperity occurs. This model involves vaporization, liquid and solid zones, inwhich the temperature satises a generalized heat equation with the Thomson eect. Accountingfor the nonlinear thermal coecient, the model also incorporates temperature-dependent electricalconductivity. By employing a similarity transformation, the Stefan-type problem is reduced to asystem of coupled nonlinear integral equations. The existence of a solution is established using thexed point theory in Banach spaces.Fil: Nauryz, Targyn. Kazakh British Technical University; KazajistánFil: Kharin, Stanislav. Kazakh British Technical University; KazajistánFil: Briozzo, Adriana Clotilde. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; ArgentinaFil: Bollati, Julieta. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; ArgentinaEurasian National University2025-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/273861Nauryz, Targyn; Kharin, Stanislav; Briozzo, Adriana Clotilde; Bollati, Julieta; Exact solution to a Stefan-type problem for a generalized heat equation with the Thomson effect; Eurasian National University; Eurasian Mathematical Journal; 16; 3; 9-2025; 68-892077-9879CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://emj.enu.kz/index.php/main/article/view/824info:eu-repo/semantics/altIdentifier/doi/10.32523/2077-9879-2025-16-3-68-89info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-08-25T15:29:17Zoai:ri.conicet.gov.ar:11336/273861instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982026-08-25 15:29:17.32CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Exact solution to a Stefan-type problem for a generalized heat equation with the Thomson effect
title Exact solution to a Stefan-type problem for a generalized heat equation with the Thomson effect
spellingShingle Exact solution to a Stefan-type problem for a generalized heat equation with the Thomson effect
Nauryz, Targyn
STEFAN PROBLEM
GENERALIZED HEAT EQUATION
THOMSON EFFECT
SIMILARITY SOLUTION
NONLINEAR INTEGRAL EQUATIONS
NOLINEAR THERMAL COEFFICIENT
FIXED POINT THEOREM
title_short Exact solution to a Stefan-type problem for a generalized heat equation with the Thomson effect
title_full Exact solution to a Stefan-type problem for a generalized heat equation with the Thomson effect
title_fullStr Exact solution to a Stefan-type problem for a generalized heat equation with the Thomson effect
title_full_unstemmed Exact solution to a Stefan-type problem for a generalized heat equation with the Thomson effect
title_sort Exact solution to a Stefan-type problem for a generalized heat equation with the Thomson effect
dc.creator.none.fl_str_mv Nauryz, Targyn
Kharin, Stanislav
Briozzo, Adriana Clotilde
Bollati, Julieta
author Nauryz, Targyn
author_facet Nauryz, Targyn
Kharin, Stanislav
Briozzo, Adriana Clotilde
Bollati, Julieta
author_role author
author2 Kharin, Stanislav
Briozzo, Adriana Clotilde
Bollati, Julieta
author2_role author
author
author
dc.subject.none.fl_str_mv STEFAN PROBLEM
GENERALIZED HEAT EQUATION
THOMSON EFFECT
SIMILARITY SOLUTION
NONLINEAR INTEGRAL EQUATIONS
NOLINEAR THERMAL COEFFICIENT
FIXED POINT THEOREM
topic STEFAN PROBLEM
GENERALIZED HEAT EQUATION
THOMSON EFFECT
SIMILARITY SOLUTION
NONLINEAR INTEGRAL EQUATIONS
NOLINEAR THERMAL COEFFICIENT
FIXED POINT THEOREM
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We study a one-dimensional Stefan type problem which models the behavior of electromagneticelds and heat transfer in closed electrical contacts that arises, when an instantaneousexplosion of the micro-asperity occurs. This model involves vaporization, liquid and solid zones, inwhich the temperature satises a generalized heat equation with the Thomson eect. Accountingfor the nonlinear thermal coecient, the model also incorporates temperature-dependent electricalconductivity. By employing a similarity transformation, the Stefan-type problem is reduced to asystem of coupled nonlinear integral equations. The existence of a solution is established using thexed point theory in Banach spaces.
Fil: Nauryz, Targyn. Kazakh British Technical University; Kazajistán
Fil: Kharin, Stanislav. Kazakh British Technical University; Kazajistán
Fil: Briozzo, Adriana Clotilde. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina
Fil: Bollati, Julieta. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina
description We study a one-dimensional Stefan type problem which models the behavior of electromagneticelds and heat transfer in closed electrical contacts that arises, when an instantaneousexplosion of the micro-asperity occurs. This model involves vaporization, liquid and solid zones, inwhich the temperature satises a generalized heat equation with the Thomson eect. Accountingfor the nonlinear thermal coecient, the model also incorporates temperature-dependent electricalconductivity. By employing a similarity transformation, the Stefan-type problem is reduced to asystem of coupled nonlinear integral equations. The existence of a solution is established using thexed point theory in Banach spaces.
publishDate 2025
dc.date.none.fl_str_mv 2025-09
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/273861
Nauryz, Targyn; Kharin, Stanislav; Briozzo, Adriana Clotilde; Bollati, Julieta; Exact solution to a Stefan-type problem for a generalized heat equation with the Thomson effect; Eurasian National University; Eurasian Mathematical Journal; 16; 3; 9-2025; 68-89
2077-9879
CONICET Digital
CONICET
url http://hdl.handle.net/11336/273861
identifier_str_mv Nauryz, Targyn; Kharin, Stanislav; Briozzo, Adriana Clotilde; Bollati, Julieta; Exact solution to a Stefan-type problem for a generalized heat equation with the Thomson effect; Eurasian National University; Eurasian Mathematical Journal; 16; 3; 9-2025; 68-89
2077-9879
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://emj.enu.kz/index.php/main/article/view/824
info:eu-repo/semantics/altIdentifier/doi/10.32523/2077-9879-2025-16-3-68-89
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Eurasian National University
publisher.none.fl_str_mv Eurasian National University
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.265058

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