dc.creator | Gancedo García, Francisco | es |
dc.creator | García Juárez, Eduardo Miguel | es |
dc.date.accessioned | 2018-03-14T07:18:22Z | |
dc.date.available | 2018-03-14T07:18:22Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | Gancedo García, F. y García Juárez, E.M. (2018). Global regularity of 2D density patches for inhomogeneous Navier-Stokes. Archive for Rational Mechanics and Analysis, 229 (1), 339-360. | |
dc.identifier.issn | 0003-9527 | es |
dc.identifier.issn | 1432-0673 | es |
dc.identifier.uri | https://hdl.handle.net/11441/70963 | |
dc.description.abstract | This paper is about Lions’ open problem on density patches: whether inhomogeneous incompressible Navier-Stokes equations preserve the initial regularity of the free boundary given by density patches. Using classical Sobolev spaces for the velocity, we first establish the propagation of C1+γ
regularity with 0 < γ < 1 in the case of positive density. Furthermore, we go beyond to show the persistence of a geometrical quantity such as the curvature. In addition, we obtain a proof for C2+γ regularity. | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es |
dc.description.sponsorship | European Research Council | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Archive for Rational Mechanics and Analysis, 229 (1), 339-360. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Navier-Stokes equations | es |
dc.subject | Density patch | es |
dc.subject | Global regularity | es |
dc.title | Global regularity of 2D density patches for inhomogeneous Navier-Stokes | 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 | P12-FQM-2466 | es |
dc.relation.projectID | MTM2014-59488-P | es |
dc.relation.projectID | H2020-EU.1.1.-639227 | es |
dc.relation.publisherversion | https://link.springer.com/content/pdf/10.1007%2Fs00205-018-1218-4.pdf | es |
dc.identifier.doi | 10.1007/s00205-018-1218-4 | es |
dc.contributor.group | Universidad de Sevilla. FQM104: Análisis Matemático | es |
idus.format.extent | 22 p. | es |
dc.journaltitle | Archive for Rational Mechanics and Analysis | es |
dc.publication.volumen | 229 | |
dc.publication.issue | 1 | |
dc.publication.initialPage | 339 | es |
dc.publication.endPage | 360 | es |