Título inglés |
Div-curl Young measures and optimal design in any dimension. |
Título español |
Medidas de Young de divergencia-rotacional y diseño óptimo en cualquier dimensión. |
Autor/es |
Pedregal, Pablo |
Organización |
Dep. Mat. Esc. Téc. Sup. Ing. Ind. Univ. Castilla-La Mancha, Ciudad Real, España |
Revista |
1139-1138 |
Publicación |
2007, 20 (1): 239-255, 24 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
We explicitly introduce and exploit div-curl Young measures to examine optimal design problems governed by a linear state law in divergence form. The cost is allowed to depend explicitly on the gradient of the state. By means of this family of measures, we can formulate a suitable relaxed version of the problem, and, in a subsequent step, put it in a similar form as the original optimal design problem with an appropriate set of designs and generalized state law. Many of the issues involved has been analyzed elsewhere. The emphasis here is placed on the fact that, by using div-curl Young measures, we make the treatment dimension-independent. |
Clasificación UNESCO |
120204 |
Palabras clave español |
Diseño óptimo ; Problemas variacionales ; Campos vectoriales |
Código MathReviews |
MR2310585 |
Acceso al artículo completo |