Article
Homogenization of systems with equi-integrable coefficients
Author/s | Briane, Marc
Casado Díaz, Juan |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2014 |
Deposit Date | 2016-06-10 |
Published in |
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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 ... 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. |
Funding agencies | Ministerio de Economía y Competitividad (MINECO). España Institut de Recherche Mathématique de Rennes |
Project ID. | info:eu-repo/grantAgreement/MINECO/MTM2011-24457 |
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. |
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