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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/256064
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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 Técnicas2025-09-03T09:47:15Zoai: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:34982025-09-03 09:47:15.705CONICET 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 |
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reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
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dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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