Two Stefan problems for a non-classical heat equation with nonlinear thermal coefficients

Autores
Briozzo, Adriana Clotilde; Natale, María Fernanda
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The mathematical analysis of two one-phase unidimensional and non-classical Stefan problems with nonlinear thermal coecients is obtained. Two related cases are considered, one of them has a temperature condition on the fixed face x = 0 and the other one has a flux condition of the type q0= p t (q0 > 0) : In the first case, the source function depends on the heat flux at the fixed face x = 0; and in the other case it depends on the temperature at the fixed face x = 0: In both cases, we obtain sufficient conditions in order to have the existence of an explicit solution of a similarity type, which is given by using a double fixed point.
Fil: Briozzo, Adriana Clotilde. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Austral. Facultad de Cs.empresariales. Departamento de Matemáticas; Argentina
Fil: Natale, María Fernanda. Universidad Austral. Facultad de Cs.empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Free Boundary Problem
Stefan Problem
Nonlinear Thermal Coefficients
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:11336/30877
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/30877
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Two Stefan problems for a non-classical heat equation with nonlinear thermal coefficientsBriozzo, Adriana ClotildeNatale, María FernandaFree Boundary ProblemStefan ProblemNonlinear Thermal Coefficientshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The mathematical analysis of two one-phase unidimensional and non-classical Stefan problems with nonlinear thermal coecients is obtained. Two related cases are considered, one of them has a temperature condition on the fixed face x = 0 and the other one has a flux condition of the type q0= p t (q0 > 0) : In the first case, the source function depends on the heat flux at the fixed face x = 0; and in the other case it depends on the temperature at the fixed face x = 0: In both cases, we obtain sufficient conditions in order to have the existence of an explicit solution of a similarity type, which is given by using a double fixed point.Fil: Briozzo, Adriana Clotilde. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Austral. Facultad de Cs.empresariales. Departamento de Matemáticas; ArgentinaFil: Natale, María Fernanda. Universidad Austral. Facultad de Cs.empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaKhayyam Publishing2014-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfapplication/pdfapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/30877Natale, María Fernanda; Briozzo, Adriana Clotilde; Two Stefan problems for a non-classical heat equation with nonlinear thermal coefficients; Khayyam Publishing; Differential And Integral Equations; 27; 11; 11-2014; 1187-12020893-4983CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://projecteuclid.org/euclid.die/1408366789info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T14:44:09Zoai:ri.conicet.gov.ar:11336/30877instacron: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:34982025-10-15 14:44:10.205CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Two Stefan problems for a non-classical heat equation with nonlinear thermal coefficients
title Two Stefan problems for a non-classical heat equation with nonlinear thermal coefficients
spellingShingle Two Stefan problems for a non-classical heat equation with nonlinear thermal coefficients
Briozzo, Adriana Clotilde
Free Boundary Problem
Stefan Problem
Nonlinear Thermal Coefficients
title_short Two Stefan problems for a non-classical heat equation with nonlinear thermal coefficients
title_full Two Stefan problems for a non-classical heat equation with nonlinear thermal coefficients
title_fullStr Two Stefan problems for a non-classical heat equation with nonlinear thermal coefficients
title_full_unstemmed Two Stefan problems for a non-classical heat equation with nonlinear thermal coefficients
title_sort Two Stefan problems for a non-classical heat equation with nonlinear thermal coefficients
dc.creator.none.fl_str_mv Briozzo, Adriana Clotilde
Natale, María Fernanda
author Briozzo, Adriana Clotilde
author_facet Briozzo, Adriana Clotilde
Natale, María Fernanda
author_role author
author2 Natale, María Fernanda
author2_role author
dc.subject.none.fl_str_mv Free Boundary Problem
Stefan Problem
Nonlinear Thermal Coefficients
topic Free Boundary Problem
Stefan Problem
Nonlinear Thermal Coefficients
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The mathematical analysis of two one-phase unidimensional and non-classical Stefan problems with nonlinear thermal coecients is obtained. Two related cases are considered, one of them has a temperature condition on the fixed face x = 0 and the other one has a flux condition of the type q0= p t (q0 > 0) : In the first case, the source function depends on the heat flux at the fixed face x = 0; and in the other case it depends on the temperature at the fixed face x = 0: In both cases, we obtain sufficient conditions in order to have the existence of an explicit solution of a similarity type, which is given by using a double fixed point.
Fil: Briozzo, Adriana Clotilde. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Austral. Facultad de Cs.empresariales. Departamento de Matemáticas; Argentina
Fil: Natale, María Fernanda. Universidad Austral. Facultad de Cs.empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description The mathematical analysis of two one-phase unidimensional and non-classical Stefan problems with nonlinear thermal coecients is obtained. Two related cases are considered, one of them has a temperature condition on the fixed face x = 0 and the other one has a flux condition of the type q0= p t (q0 > 0) : In the first case, the source function depends on the heat flux at the fixed face x = 0; and in the other case it depends on the temperature at the fixed face x = 0: In both cases, we obtain sufficient conditions in order to have the existence of an explicit solution of a similarity type, which is given by using a double fixed point.
publishDate 2014
dc.date.none.fl_str_mv 2014-11
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/11336/30877
Natale, María Fernanda; Briozzo, Adriana Clotilde; Two Stefan problems for a non-classical heat equation with nonlinear thermal coefficients; Khayyam Publishing; Differential And Integral Equations; 27; 11; 11-2014; 1187-1202
0893-4983
CONICET Digital
CONICET
url http://hdl.handle.net/11336/30877
identifier_str_mv Natale, María Fernanda; Briozzo, Adriana Clotilde; Two Stefan problems for a non-classical heat equation with nonlinear thermal coefficients; Khayyam Publishing; Differential And Integral Equations; 27; 11; 11-2014; 1187-1202
0893-4983
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://projecteuclid.org/euclid.die/1408366789
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
application/pdf
application/pdf
application/pdf
application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Khayyam Publishing
publisher.none.fl_str_mv Khayyam Publishing
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
_version_ 1846082950885539840
score 13.22299

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