dc.creator | Briane, Marc | es |
dc.creator | Casado Díaz, Juan | es |
dc.date.accessioned | 2016-06-09T11:41:40Z | |
dc.date.available | 2016-06-09T11:41:40Z | |
dc.date.issued | 2011 | |
dc.identifier.citation | Briane, M. y Casado Díaz, J. (2011). Estimate of the pressure when its gradient is the divergence of a measure. Applications. ESAIM: Control, Optimisation and Calculus of Variations, 17 (4), 1066-1087. | |
dc.identifier.issn | 1292-8119 | es |
dc.identifier.issn | 1262-3377 | es |
dc.identifier.uri | http://hdl.handle.net/11441/42083 | |
dc.description.abstract | In this paper, a W−1,N estimate of the pressure is derived when its gradient is the divergence of a matrix-valued measure on RN , or on a regular bounded open set of RN . The proof is based partially on the Strauss inequality [Strauss, Partial Differential Equations: Proc. Symp. Pure Math. 23 (1973) 207–214] in dimension two, and on a recent result of Bourgain and Brezis [J. Eur. Math. Soc. 9 (2007) 277–315] in higher dimension. The estimate is used to derive a representation result for divergence free distributions which read as the divergence of a measure, and to prove an
existence result for the stationary Navier-Stokes equation when the viscosity tensor is only in L1. | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | EDP Sciences | es |
dc.relation.ispartof | ESAIM: Control, Optimisation and Calculus of Variations, 17 (4), 1066-1087. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Pressure | es |
dc.subject | Navier-Stokes equation | es |
dc.subject | div-curl | es |
dc.subject | measure data | es |
dc.subject | fundamental solution | es |
dc.title | Estimate of the pressure when its gradient is the divergence of a measure. Applications | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.projectID | MTM2008-00306 | es |
dc.identifier.doi | http://dx.doi.org/10.1051/cocv/2010037 | es |
idus.format.extent | 22 p. | es |
dc.journaltitle | ESAIM: Control, Optimisation and Calculus of Variations | es |
dc.publication.volumen | 17 | es |
dc.publication.issue | 4 | es |
dc.publication.initialPage | 1066 | es |
dc.publication.endPage | 1087 | es |
dc.relation.publicationplace | Paris | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/42083 | |
dc.contributor.funder | Ministerio de Ciencia e Innovación (MICIN). España | |