Analysis of a Nonlinear Coupled Model of Flow in Deformable Porous Media

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UDC.coleccionInvestigación
UDC.departamentoMatemáticas
UDC.grupoInvModelos e Métodos Numéricos en Enxeñaría e Ciencias Aplicadas (M2NICA)
UDC.institutoCentroCITIC - Centro de Investigación de Tecnoloxías da Información e da Comunicación
UDC.journalTitleInternational Journal of Engineering Science
UDC.startPage104562
UDC.volume226
dc.contributor.authorGirault, Vivette
dc.contributor.authorGonzález Taboada, María
dc.contributor.authorHecht, Frédéric
dc.date.accessioned2026-05-14T08:20:08Z
dc.date.available2026-05-14T08:20:08Z
dc.date.issued2026
dc.description.abstract[Abstract]: This work analyzes a variant of a model introduced by K.R. Rajagopal describing a flow through a deformable porous solid where the viscosity of the fluid and drag coefficient depend on the fluid’s pressure. The variant consists in truncating and regularizing the pressure in space by convolution and in time by convolution plus retardation. For this variant, a priori estimates and existence of solutions are established.
dc.description.sponsorshipMost of this work was developed while M.G. was visiting Laboratoire Jacques-Louis Lions at Sorbonne Université. M.G. would like to thank all people there for their warm welcome. The research of M.G. was partially funded by CITIC (Spain) through Xunta de Galicia and the European Union (European Regional Development Fund-Galicia 2014-2020 Program), by grant ED431G 2019/01, and Xunta de Galicia (Spain) through grant ED431C 2022/47. M.G. also acknowledges funding by the Spanish Ministerio de Ciencia, Innovación y Universidades, through grant PID2023-150390OB-I00. Open access publication was funded by Universidade da Coruña, CISUG.
dc.description.sponsorshipXunta de Galicia; ED431G 2019/01
dc.description.sponsorshipXunta de Galicia; ED431C 2022/47
dc.identifier.citationV. Girault, M. González Taboada, and F. Hecht, "Analysis of a Nonlinear Coupled Model of Flow in Deformable Porous Media", International Journal of Engineering Science, Vol. 226, 104562, September 2026, https://doi.org/10.1016/j.ijengsci.2026.104562
dc.identifier.doi10.1016/j.ijengsci.2026.104562
dc.identifier.issn1879-2197
dc.identifier.urihttps://hdl.handle.net/2183/48247
dc.language.isoeng
dc.publisherElsevier
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2023-150390OB-I00/ES/TECNICAS NUMERICAS PREDICTIVAS BASADAS EN MODELOS DE MULTIFISICA PARA LA MONITORIZACION DE ACUIFEROS
dc.relation.urihttps://doi.org/10.1016/j.ijengsci.2026.104562
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectMixture theory
dc.subjectTruncation
dc.subjectRegularization by convolution
dc.subjectRetardation in time
dc.titleAnalysis of a Nonlinear Coupled Model of Flow in Deformable Porous Media
dc.typejournal article
dc.type.hasVersionVoR
dspace.entity.typePublication
relation.isAuthorOfPublication0297067b-d946-4ca7-a145-b81432bb84e1
relation.isAuthorOfPublication.latestForDiscovery0297067b-d946-4ca7-a145-b81432bb84e1

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