dc.creator | Castro Martínez, Ángel | es |
dc.creator | Córdoba Gazolaz, Diego | es |
dc.creator | Gancedo García, Francisco | es |
dc.creator | Orive Illera, Rafael | es |
dc.date.accessioned | 2016-09-21T09:29:26Z | |
dc.date.available | 2016-09-21T09:29:26Z | |
dc.date.issued | 2009-08 | |
dc.identifier.citation | Castro Martínez, Á., Córdoba Gazolaz, D., Gancedo García, F. y Orive Illera, R. (2009). Incompressible flow in porous media with fractional diffusion. Nonlinearity, 22 (8), 1791-1815. | |
dc.identifier.issn | 0951-7715 | es |
dc.identifier.issn | 1361-6544 | es |
dc.identifier.uri | http://hdl.handle.net/11441/45190 | |
dc.description.abstract | In this paper we study the heat transfer with a general fractional diffusion term of an incompressible fluid in a porous medium governed by Darcy’s law. We show formation of singularities with infinite energy and for finite energy we obtain existence and uniqueness results of strong solutions for the sub-critical and critical cases. We prove global existence of weak solutions for different cases. Moreover, we obtain the decay of the solution in Lp, for any p ≥ 2, and the asymptotic behavior is shown. Finally, we prove the existence of an attractor in a weak sense and, for the sub-critical dissipative case with α ∈ (1, 2], we obtain the existence of the global attractor for the solutions in the space Hs for any s > (N/2) + 1 − α. | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia | es |
dc.description.sponsorship | Comunidad Autónoma de Madrid | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | IOP Publishing | es |
dc.relation.ispartof | Nonlinearity, 22 (8), 1791-1815. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Flows in porous media | es |
dc.title | Incompressible flow in porous media with fractional diffusion | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | MTM2005-05980 | es |
dc.relation.projectID | S-0505/ESP/0158 | es |
dc.relation.projectID | MTM2005-00714 | es |
dc.relation.publisherversion | http://iopscience.iop.org/article/10.1088/0951-7715/22/8/002/pdf | es |
dc.identifier.doi | 10.1088/0951-7715/22/8/002 | es |
dc.contributor.group | Universidad de Sevilla. FQM104: Analisis Matematico | es |
idus.format.extent | 21 p. | es |
dc.journaltitle | Nonlinearity | es |
dc.publication.volumen | 22 | es |
dc.publication.issue | 8 | es |
dc.publication.initialPage | 1791 | es |
dc.publication.endPage | 1815 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/45190 | |
dc.contributor.funder | Ministerio de Educación y Ciencia (MEC). España | |