dc.creator | Constantin, Peter | es |
dc.creator | Córdoba Gazolaz, Diego | es |
dc.creator | Gancedo García, Francisco | es |
dc.creator | Rodríguez Piazza, Luis | es |
dc.creator | Strain, Robert M. | es |
dc.date.accessioned | 2017-09-14T11:28:30Z | |
dc.date.available | 2017-09-14T11:28:30Z | |
dc.date.issued | 2016-12 | |
dc.identifier.citation | Constantin, P., Córdoba Gazolaz, D., Gancedo García, F., Rodríguez Piazza, L. y Strain, R.M. (2016). On the Muskat problem: global in time results in 2D and 3D. American Journal of Mathematics, 138 (6), 1455-1494. | |
dc.identifier.issn | 0002-9327 | es |
dc.identifier.issn | 1080-6377 | es |
dc.identifier.uri | http://hdl.handle.net/11441/64438 | |
dc.description.abstract | This paper considers the three dimensional Muskat problem in the stable regime. We obtain a conservation law which provides an L2 maximum principle for the fluid interface. We also show global in time existence for strong and weak solutions with initial data controlled by explicit constants. Furthermore we refine the estimates from our paper [P. Constantin, D. Córdoba, F. Gancedo and R. M. Strain. On the global existence for the Muskat problem. J. Eur. Math. Soc. (JEMS) 15, 201-227 (2013)] to obtain global existence and uniqueness for strong solutions with larger initial data
than we previously had in 2D. Finally we provide global in time results in critical spaces, giving solutions with bounded slope and time integrable bounded curvature. | es |
dc.description.sponsorship | National Science Foundation | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Johns Hopkins University Press | es |
dc.relation.ispartof | American Journal of Mathematics, 138 (6), 1455-1494. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Porous media | es |
dc.subject | Incompressible flows | es |
dc.subject | Fluid interface | es |
dc.subject | Global existence | es |
dc.title | On the Muskat problem: global in time results in 2D and 3D | 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 | DMS-1209394 | es |
dc.relation.projectID | DMS-1265132 | es |
dc.relation.projectID | MTM2011-26696 | es |
dc.relation.projectID | MTM2012-05622 | es |
dc.relation.projectID | DMS-1200747 | es |
dc.relation.projectID | DMS-0901463 | es |
dc.relation.projectID | info:eu-repo/grantAgreement/EC/FP7/203138 | |
dc.relation.publisherversion | https://muse.jhu.edu/article/640893/pdf | es |
dc.identifier.doi | 10.1353/ajm.2016.0044 | es |
dc.contributor.group | Universidad de Sevilla. FQM104: Análisis Matemático | es |
idus.format.extent | 33 p. | es |
dc.journaltitle | American Journal of Mathematics | es |
dc.publication.volumen | 138 | es |
dc.publication.issue | 6 | es |
dc.publication.initialPage | 1455 | es |
dc.publication.endPage | 1494 | es |
dc.contributor.funder | National Science Foundation (NSF). United States | |
dc.contributor.funder | Ministerio de Ciencia e Innovación (MICIN). España | |