A free boundary problem for a diffusion–convection equation

Autores
Briozzo, Adriana Clotilde; Tarzia, Domingo Alberto
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
One-dimensional free boundary problem for a nonlinear diffusion - convection equation with a Dirichlet condition at fixed face x=0, variable in time, is considered. Throught several transformations the problem is reduced to a free boundary problem for a diffusion equation and the integral formulation is obtained. By using fixed point theorems, the existence and uniqueness of solution, for small time, to a system of coupled nonlinear integral equations is obtained.
Fil: Briozzo, Adriana Clotilde. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina
Fil: Tarzia, Domingo Alberto. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina
Materia
DIFFUSION CONVECTION EQUATION
FREE BOUNDARY PROBLEM
NONLINEAR INTEGRAL EQUATION
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/109386
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/109386
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling A free boundary problem for a diffusion–convection equationBriozzo, Adriana ClotildeTarzia, Domingo AlbertoDIFFUSION CONVECTION EQUATIONFREE BOUNDARY PROBLEMNONLINEAR INTEGRAL EQUATIONhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1One-dimensional free boundary problem for a nonlinear diffusion - convection equation with a Dirichlet condition at fixed face x=0, variable in time, is considered. Throught several transformations the problem is reduced to a free boundary problem for a diffusion equation and the integral formulation is obtained. By using fixed point theorems, the existence and uniqueness of solution, for small time, to a system of coupled nonlinear integral equations is obtained.Fil: Briozzo, Adriana Clotilde. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; ArgentinaFil: Tarzia, Domingo Alberto. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; ArgentinaPergamon-Elsevier Science Ltd2020-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/109386Briozzo, Adriana Clotilde; Tarzia, Domingo Alberto; A free boundary problem for a diffusion–convection equation; Pergamon-Elsevier Science Ltd; International Journal Of Non-linear Mechanics; 120; 4-2020; 1-300020-7462CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://linkinghub.elsevier.com/retrieve/pii/S0020746219307152info:eu-repo/semantics/altIdentifier/doi/10.1016/j.ijnonlinmec.2019.103394info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:11:19Zoai:ri.conicet.gov.ar:11336/109386instacron: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:34982025-09-10 13:11:19.954CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A free boundary problem for a diffusion–convection equation
title A free boundary problem for a diffusion–convection equation
spellingShingle A free boundary problem for a diffusion–convection equation
Briozzo, Adriana Clotilde
DIFFUSION CONVECTION EQUATION
FREE BOUNDARY PROBLEM
NONLINEAR INTEGRAL EQUATION
title_short A free boundary problem for a diffusion–convection equation
title_full A free boundary problem for a diffusion–convection equation
title_fullStr A free boundary problem for a diffusion–convection equation
title_full_unstemmed A free boundary problem for a diffusion–convection equation
title_sort A free boundary problem for a diffusion–convection equation
dc.creator.none.fl_str_mv Briozzo, Adriana Clotilde
Tarzia, Domingo Alberto
author Briozzo, Adriana Clotilde
author_facet Briozzo, Adriana Clotilde
Tarzia, Domingo Alberto
author_role author
author2 Tarzia, Domingo Alberto
author2_role author
dc.subject.none.fl_str_mv DIFFUSION CONVECTION EQUATION
FREE BOUNDARY PROBLEM
NONLINEAR INTEGRAL EQUATION
topic DIFFUSION CONVECTION EQUATION
FREE BOUNDARY PROBLEM
NONLINEAR INTEGRAL EQUATION
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv One-dimensional free boundary problem for a nonlinear diffusion - convection equation with a Dirichlet condition at fixed face x=0, variable in time, is considered. Throught several transformations the problem is reduced to a free boundary problem for a diffusion equation and the integral formulation is obtained. By using fixed point theorems, the existence and uniqueness of solution, for small time, to a system of coupled nonlinear integral equations is obtained.
Fil: Briozzo, Adriana Clotilde. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina
Fil: Tarzia, Domingo Alberto. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina
description One-dimensional free boundary problem for a nonlinear diffusion - convection equation with a Dirichlet condition at fixed face x=0, variable in time, is considered. Throught several transformations the problem is reduced to a free boundary problem for a diffusion equation and the integral formulation is obtained. By using fixed point theorems, the existence and uniqueness of solution, for small time, to a system of coupled nonlinear integral equations is obtained.
publishDate 2020
dc.date.none.fl_str_mv 2020-04
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/11336/109386
Briozzo, Adriana Clotilde; Tarzia, Domingo Alberto; A free boundary problem for a diffusion–convection equation; Pergamon-Elsevier Science Ltd; International Journal Of Non-linear Mechanics; 120; 4-2020; 1-30
0020-7462
CONICET Digital
CONICET
url http://hdl.handle.net/11336/109386
identifier_str_mv Briozzo, Adriana Clotilde; Tarzia, Domingo Alberto; A free boundary problem for a diffusion–convection equation; Pergamon-Elsevier Science Ltd; International Journal Of Non-linear Mechanics; 120; 4-2020; 1-30
0020-7462
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://linkinghub.elsevier.com/retrieve/pii/S0020746219307152
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.ijnonlinmec.2019.103394
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv 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
_version_ 1842980579220389888
score 12.993085

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