dc.creator | Briane, Marc | es |
dc.creator | Casado Díaz, Juan | es |
dc.date.accessioned | 2016-06-10T06:55:00Z | |
dc.date.available | 2016-06-10T06:55:00Z | |
dc.date.issued | 2014 | |
dc.identifier.citation | Briane, M. y Casado Díaz, J. (2014). Homogenization of systems with equi-integrable coefficients. ESAIM: Control, Optimisation and Calculus of Variations, 20 (4), 1214-1223. | |
dc.identifier.issn | 1292-8119 | es |
dc.identifier.issn | 1262-3377 | es |
dc.identifier.uri | http://hdl.handle.net/11441/42101 | |
dc.description.abstract | In this paper we prove a H-convergence type result for the homogenization of systems the coefficients of which satisfy a functional ellipticity condition and a strong equi-integrability condition. The equi-integrability assumption allows us to control the fact that the coefficients are not equi-bounded. Since the truncation principle used for scalar equations does not hold for vector-valued systems, we present an alternative approach based on an approximation result by Lipschitz functions due to Acerbi and Fusco combined with a Meyers Lp-estimate adapted to the functional ellipticity
condition. The present framework includes in particular the elasticity case and the reinforcement by stiff thin fibers. | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es |
dc.description.sponsorship | Institut de Recherche Mathématique de Rennes | 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, 20 (4), 1214-1223. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Homogenization | es |
dc.subject | vector-valued systems | es |
dc.subject | not equi-bounded coefficients | es |
dc.subject | equi-integrable coefficients | es |
dc.subject | H-convergence | es |
dc.title | Homogenization of systems with equi-integrable coefficients | 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 | info:eu-repo/grantAgreement/MINECO/MTM2011-24457 | es |
dc.identifier.doi | http://dx.doi.org/10.1051/cocv/2014013 | es |
idus.format.extent | 10 p. | es |
dc.journaltitle | ESAIM: Control, Optimisation and Calculus of Variations | es |
dc.publication.volumen | 20 | es |
dc.publication.issue | 4 | es |
dc.publication.initialPage | 1214 | es |
dc.publication.endPage | 1223 | es |
dc.relation.publicationplace | Paris | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/42101 | |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO). España | |
dc.contributor.funder | Institut de Recherche Mathématique de Rennes | |