dc.creator | Córdoba Barba, Antonio | es |
dc.creator | Córdoba Gazolaz, Diego | es |
dc.creator | Gancedo García, Francisco | es |
dc.date.accessioned | 2016-09-21T06:52:17Z | |
dc.date.available | 2016-09-21T06:52:17Z | |
dc.date.issued | 2011 | |
dc.identifier.citation | Córdoba Barba, A., Córdoba Gazolaz, D. y Gancedo García, F. (2011). Interface evolution: the Hele-Shaw and Muskat problems.. Annals of Mathematics, 173, 477-542. | |
dc.identifier.issn | 0003-486X | es |
dc.identifier.issn | 1939-8980 | es |
dc.identifier.uri | http://hdl.handle.net/11441/45171 | |
dc.description.abstract | We study the dynamics of the interface between two incompressible 2-D flows where the evolution equation is obtained from Darcy’s law. The free boundary is given by the discontinuity among the densities and viscosities of the fluids. This physical scenario is known as the two dimensional Muskat problem or the two-phase Hele-Shaw flow. We prove local-existence in Sobolev spaces when, initially, the difference of the gradients of
the pressure in the normal direction has the proper sign, an assumption which is also known as the Rayleigh-Taylor condition. | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Princeton University | es |
dc.relation.ispartof | Annals of Mathematics, 173, 477-542. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Interface evolution: the Hele-Shaw and Muskat problems | 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 | MTM2005-04730 | es |
dc.relation.projectID | MTM2005-05980 | es |
dc.relation.publisherversion | http://dx.doi.org/10.4007/annals.2011.173.1.10 | es |
dc.identifier.doi | 10.4007/annals.2011.173.1.10 | es |
dc.contributor.group | Universidad de Sevilla. FQM104: Analisis Matematico | es |
idus.format.extent | 63 p. | es |
dc.journaltitle | Annals of Mathematics | es |
dc.publication.volumen | 173 | es |
dc.publication.initialPage | 477 | es |
dc.publication.endPage | 542 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/45171 | |
dc.contributor.funder | Ministerio de Educación y Ciencia (MEC). España | |