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Artículo
The Transition Between the Navier–Stokes Equations to the Darcy Equation in a Thin Porous Medium
dc.creator | Anguiano Moreno, María | es |
dc.creator | Suárez Grau, Francisco Javier | es |
dc.date.accessioned | 2024-05-03T10:37:50Z | |
dc.date.available | 2024-05-03T10:37:50Z | |
dc.date.issued | 2018 | |
dc.identifier.issn | 1660-5446 | es |
dc.identifier.uri | https://hdl.handle.net/11441/157536 | |
dc.description.abstract | We consider a Newtonian flow in a thin porous medium Ωε of thickness ε which is perforated by periodically distributed solid cylinders of size aε. Generalizing [2], the fluid is described by the 3D incompressible Navier-Stokes system where the external force takes values in the space H^{−1}, and the porous medium considered has one of the most commonly used distribution of cylinders: hexagonal distribution. By means of an adaptation of the unfolding method, three different Darcy’s laws are rigorously derived from this model depending on the magnitude aε with respect to ε. | es |
dc.description.sponsorship | Junta de Andalucía P12-FQM-2466 | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad MTM2014-53309-P | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Homogenization; Navier-Stokes equations; Darcy’s law; porous medium; thin-film fluids. | es |
dc.title | The Transition Between the Navier–Stokes Equations to the Darcy Equation in a Thin Porous Medium | es |
dc.type | info:eu-repo/semantics/article | es |
dc.type.version | info:eu-repo/semantics/acceptedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | P12-FQM-2466 | es |
dc.relation.projectID | MTM2014-53309-P | es |
dc.relation.publisherversion | https://doi.org/10.1007/s00009-018-1086-z | es |
dc.identifier.doi | 10.1007/s00009-018-1086-z | es |
dc.journaltitle | Mediterranean Journal of Mathematics | es |
dc.publication.volumen | 15 | es |
dc.publication.issue | 45 | es |
dc.contributor.funder | Junta de Andalucía | es |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO). España | es |
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Anguiano_SuarezGrau.pdf | 601.2Kb | ![]() | Ver/ | |