A new mathematical formulation for a phase change problem with a memory flux

Autores
Roscani, Sabrina Dina; Bollati, Julieta; Tarzia, Domingo Alberto
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A mathematical formulation for a one-phase change problem in a form of Stefan problem with a memory flux is obtained. The hypothesis that the integral of weighted backward fluxes is proportional to the gradient of the temperature is considered. The model that arises involves fractional derivatives with respect to time both in the sense of Caputo and of Riemann–Liouville. An integral relation for the free boundary, which is equivalent to the “fractional Stefan condition”, is also obtained.
Fil: Roscani, Sabrina Dina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina
Fil: Bollati, Julieta. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina
Fil: Tarzia, Domingo Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina
Materia
CAPUTO DERIVATIVE
EQUIVALENT INTEGRAL RELATION
FRACTIONAL DIFFUSION EQUATION
MEMORY FLUX
RIEMANN–LIOUVILLE DERIVATIVE
STEFAN PROBLEM
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:11336/100740
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling A new mathematical formulation for a phase change problem with a memory fluxRoscani, Sabrina DinaBollati, JulietaTarzia, Domingo AlbertoCAPUTO DERIVATIVEEQUIVALENT INTEGRAL RELATIONFRACTIONAL DIFFUSION EQUATIONMEMORY FLUXRIEMANN–LIOUVILLE DERIVATIVESTEFAN PROBLEMhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1A mathematical formulation for a one-phase change problem in a form of Stefan problem with a memory flux is obtained. The hypothesis that the integral of weighted backward fluxes is proportional to the gradient of the temperature is considered. The model that arises involves fractional derivatives with respect to time both in the sense of Caputo and of Riemann–Liouville. An integral relation for the free boundary, which is equivalent to the “fractional Stefan condition”, is also obtained.Fil: Roscani, Sabrina Dina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; ArgentinaFil: Bollati, Julieta. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; ArgentinaFil: Tarzia, Domingo Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; ArgentinaPergamon-Elsevier Science Ltd2018-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/100740Roscani, Sabrina Dina; Bollati, Julieta; Tarzia, Domingo Alberto; A new mathematical formulation for a phase change problem with a memory flux; Pergamon-Elsevier Science Ltd; Chaos, Solitons And Fractals; 116; 11-2018; 340-3470960-0779CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S096007791830393X?via%3Dihubinfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.chaos.2018.09.023info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1805.09115info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:10:26Zoai:ri.conicet.gov.ar:11336/100740instacron: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:34982025-09-03 10:10:26.67CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A new mathematical formulation for a phase change problem with a memory flux
title A new mathematical formulation for a phase change problem with a memory flux
spellingShingle A new mathematical formulation for a phase change problem with a memory flux
Roscani, Sabrina Dina
CAPUTO DERIVATIVE
EQUIVALENT INTEGRAL RELATION
FRACTIONAL DIFFUSION EQUATION
MEMORY FLUX
RIEMANN–LIOUVILLE DERIVATIVE
STEFAN PROBLEM
title_short A new mathematical formulation for a phase change problem with a memory flux
title_full A new mathematical formulation for a phase change problem with a memory flux
title_fullStr A new mathematical formulation for a phase change problem with a memory flux
title_full_unstemmed A new mathematical formulation for a phase change problem with a memory flux
title_sort A new mathematical formulation for a phase change problem with a memory flux
dc.creator.none.fl_str_mv Roscani, Sabrina Dina
Bollati, Julieta
Tarzia, Domingo Alberto
author Roscani, Sabrina Dina
author_facet Roscani, Sabrina Dina
Bollati, Julieta
Tarzia, Domingo Alberto
author_role author
author2 Bollati, Julieta
Tarzia, Domingo Alberto
author2_role author
author
dc.subject.none.fl_str_mv CAPUTO DERIVATIVE
EQUIVALENT INTEGRAL RELATION
FRACTIONAL DIFFUSION EQUATION
MEMORY FLUX
RIEMANN–LIOUVILLE DERIVATIVE
STEFAN PROBLEM
topic CAPUTO DERIVATIVE
EQUIVALENT INTEGRAL RELATION
FRACTIONAL DIFFUSION EQUATION
MEMORY FLUX
RIEMANN–LIOUVILLE DERIVATIVE
STEFAN PROBLEM
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv A mathematical formulation for a one-phase change problem in a form of Stefan problem with a memory flux is obtained. The hypothesis that the integral of weighted backward fluxes is proportional to the gradient of the temperature is considered. The model that arises involves fractional derivatives with respect to time both in the sense of Caputo and of Riemann–Liouville. An integral relation for the free boundary, which is equivalent to the “fractional Stefan condition”, is also obtained.
Fil: Roscani, Sabrina Dina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina
Fil: Bollati, Julieta. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina
Fil: Tarzia, Domingo Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina
description A mathematical formulation for a one-phase change problem in a form of Stefan problem with a memory flux is obtained. The hypothesis that the integral of weighted backward fluxes is proportional to the gradient of the temperature is considered. The model that arises involves fractional derivatives with respect to time both in the sense of Caputo and of Riemann–Liouville. An integral relation for the free boundary, which is equivalent to the “fractional Stefan condition”, is also obtained.
publishDate 2018
dc.date.none.fl_str_mv 2018-11
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/11336/100740
Roscani, Sabrina Dina; Bollati, Julieta; Tarzia, Domingo Alberto; A new mathematical formulation for a phase change problem with a memory flux; Pergamon-Elsevier Science Ltd; Chaos, Solitons And Fractals; 116; 11-2018; 340-347
0960-0779
CONICET Digital
CONICET
url http://hdl.handle.net/11336/100740
identifier_str_mv Roscani, Sabrina Dina; Bollati, Julieta; Tarzia, Domingo Alberto; A new mathematical formulation for a phase change problem with a memory flux; Pergamon-Elsevier Science Ltd; Chaos, Solitons And Fractals; 116; 11-2018; 340-347
0960-0779
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://www.sciencedirect.com/science/article/abs/pii/S096007791830393X?via%3Dihub
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.chaos.2018.09.023
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1805.09115
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
dc.publisher.none.fl_str_mv Pergamon-Elsevier Science Ltd
publisher.none.fl_str_mv Pergamon-Elsevier Science Ltd
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 13.13397

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