Artículo
Lack of compactness in two-scale convergence
Autor/es | Briane, Marc
Casado Díaz, Juan |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2005 |
Fecha de depósito | 2016-06-10 |
Publicado en |
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Resumen | This article deals with the links between compensated compactness and two-scale convergence. More precisely, we ask the following question: Is the div-curl compactness assumption sufficient to pass to the limit in a product ... This article deals with the links between compensated compactness and two-scale convergence. More precisely, we ask the following question: Is the div-curl compactness assumption sufficient to pass to the limit in a product of two sequences which two-scale converge with respect to the pair of variables (x, x/ε)? We reply in the negative. Indeed, the div-curl assumption allows us to control oscillations which are faster than 1/ε but not the slower ones. |
Cita | Briane, M. y Casado Díaz, J. (2005). Lack of compactness in two-scale convergence. SIAM Journal on Mathematical Analysis, 37 (2), 343-346. |
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