Exact solutions for the fractional nonlinear Boussinesq equation

Autores
Ceretani, Andrea Noemí; Falcini, Federico; Garra, Roberto
Año de publicación
2022
Idioma
inglés
Tipo de recurso
documento de conferencia
Estado
versión publicada
Descripción
We investigate the existence of exact solutions in closed form to a fractional version of the nonlinear Boussinesq equation for groundwater flow through an unconfined aquifer. We show this fractional equation appears naturally when the classical nonlinear Darcy’s law is replaced by a space-fractional one. After a physical discussion on the fractional model, we give several exact solutions in closed form for special choices of initial and boundary data. We provide solutions for steady andunsteady cases, by considering both classical and fractional derivatives in time.
Fil: Ceretani, Andrea Noemí. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Falcini, Federico. Consiglio Nazionale delle Ricerche; Italia
Fil: Garra, Roberto. Consiglio Nazionale delle Ricerche; Italia
INdAM workshop on fractional differential equations : modeling, discretization, and numerical solvers
Roma
Italia
Istituto Nazionale di Alta Matematica “Francesco Severi”
Università di Salerno
Materia
nonlinear
Fractional
Boussinesq Equation
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:11336/256064
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Exact solutions for the fractional nonlinear Boussinesq equationCeretani, Andrea NoemíFalcini, FedericoGarra, RobertononlinearFractionalBoussinesq Equationhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We investigate the existence of exact solutions in closed form to a fractional version of the nonlinear Boussinesq equation for groundwater flow through an unconfined aquifer. We show this fractional equation appears naturally when the classical nonlinear Darcy’s law is replaced by a space-fractional one. After a physical discussion on the fractional model, we give several exact solutions in closed form for special choices of initial and boundary data. We provide solutions for steady andunsteady cases, by considering both classical and fractional derivatives in time.Fil: Ceretani, Andrea Noemí. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaFil: Falcini, Federico. Consiglio Nazionale delle Ricerche; ItaliaFil: Garra, Roberto. Consiglio Nazionale delle Ricerche; ItaliaINdAM workshop on fractional differential equations : modeling, discretization, and numerical solversRomaItaliaIstituto Nazionale di Alta Matematica “Francesco Severi”Università di SalernoSpringer2022info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjectCongresoJournalhttp://purl.org/coar/resource_type/c_5794info:ar-repo/semantics/documentoDeConferenciaapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/256064Exact solutions for the fractional nonlinear Boussinesq equation; INdAM workshop on fractional differential equations : modeling, discretization, and numerical solvers; Roma; Italia; 2021; 17-272281-5198CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/chapter/10.1007/978-981-19-7716-9_2info:eu-repo/semantics/altIdentifier/doi/10.1007/978-981-19-7716-9_2info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/2303.04775Internacionalinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:39:07Zoai:ri.conicet.gov.ar:11336/256064instacron: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:34982025-09-29 09:39:08.005CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Exact solutions for the fractional nonlinear Boussinesq equation
title Exact solutions for the fractional nonlinear Boussinesq equation
spellingShingle Exact solutions for the fractional nonlinear Boussinesq equation
Ceretani, Andrea Noemí
nonlinear
Fractional
Boussinesq Equation
title_short Exact solutions for the fractional nonlinear Boussinesq equation
title_full Exact solutions for the fractional nonlinear Boussinesq equation
title_fullStr Exact solutions for the fractional nonlinear Boussinesq equation
title_full_unstemmed Exact solutions for the fractional nonlinear Boussinesq equation
title_sort Exact solutions for the fractional nonlinear Boussinesq equation
dc.creator.none.fl_str_mv Ceretani, Andrea Noemí
Falcini, Federico
Garra, Roberto
author Ceretani, Andrea Noemí
author_facet Ceretani, Andrea Noemí
Falcini, Federico
Garra, Roberto
author_role author
author2 Falcini, Federico
Garra, Roberto
author2_role author
author
dc.subject.none.fl_str_mv nonlinear
Fractional
Boussinesq Equation
topic nonlinear
Fractional
Boussinesq 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 We investigate the existence of exact solutions in closed form to a fractional version of the nonlinear Boussinesq equation for groundwater flow through an unconfined aquifer. We show this fractional equation appears naturally when the classical nonlinear Darcy’s law is replaced by a space-fractional one. After a physical discussion on the fractional model, we give several exact solutions in closed form for special choices of initial and boundary data. We provide solutions for steady andunsteady cases, by considering both classical and fractional derivatives in time.
Fil: Ceretani, Andrea Noemí. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Falcini, Federico. Consiglio Nazionale delle Ricerche; Italia
Fil: Garra, Roberto. Consiglio Nazionale delle Ricerche; Italia
INdAM workshop on fractional differential equations : modeling, discretization, and numerical solvers
Roma
Italia
Istituto Nazionale di Alta Matematica “Francesco Severi”
Università di Salerno
description We investigate the existence of exact solutions in closed form to a fractional version of the nonlinear Boussinesq equation for groundwater flow through an unconfined aquifer. We show this fractional equation appears naturally when the classical nonlinear Darcy’s law is replaced by a space-fractional one. After a physical discussion on the fractional model, we give several exact solutions in closed form for special choices of initial and boundary data. We provide solutions for steady andunsteady cases, by considering both classical and fractional derivatives in time.
publishDate 2022
dc.date.none.fl_str_mv 2022
dc.type.none.fl_str_mv info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/conferenceObject
Congreso
Journal
http://purl.org/coar/resource_type/c_5794
info:ar-repo/semantics/documentoDeConferencia
status_str publishedVersion
format conferenceObject
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/256064
Exact solutions for the fractional nonlinear Boussinesq equation; INdAM workshop on fractional differential equations : modeling, discretization, and numerical solvers; Roma; Italia; 2021; 17-27
2281-5198
CONICET Digital
CONICET
url http://hdl.handle.net/11336/256064
identifier_str_mv Exact solutions for the fractional nonlinear Boussinesq equation; INdAM workshop on fractional differential equations : modeling, discretization, and numerical solvers; Roma; Italia; 2021; 17-27
2281-5198
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://link.springer.com/chapter/10.1007/978-981-19-7716-9_2
info:eu-repo/semantics/altIdentifier/doi/10.1007/978-981-19-7716-9_2
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/2303.04775
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
dc.coverage.none.fl_str_mv Internacional
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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 13.069144

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