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| HAL : hal-00092356, version 1 |
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| Control and Cybernetics 34, numéro 1 (2005) 37-57 |
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| Mathematical challenges in shape optimization |
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| Antoine Henrot 1, 2Jan Sokolowski 1 |
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| (2005) |
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| This paper covers some theoretical investigations performed in France, in the framework of the CNRS programme GDR {\it Applications Nouvelles de l'Optimisation de Forme}. The programme included also some activities in Poland. We do not restrict the presentation to the French community in the research field, the list of references includes all recent monographs on the shape optimization. The outline of the paper is the following. First we present some main fields of the activity in shape optimization. To present some precise results, from mathematical point of view, we include two sections. The first is devoted to the eigenvalues, the second to the drag minimization. Many theoretical questions related to these problems are still open. |
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| 1 : | Institut Elie Cartan Nancy (IECN) |
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CNRS : UMR7502 – INRIA – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine |
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| 2 : | CORIDA (INRIA Lorraine / IECN / MMAS) |
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INRIA – CNRS : UMR7122 – CNRS : UMR7502 – Université Paul Verlaine - Metz – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine |
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| Equations aux dérivées partielles |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00092356, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00092356 | |
| oai:hal.archives-ouvertes.fr:hal-00092356 | |
| Contributeur : Antoine Henrot | |
| Soumis le : Vendredi 8 Septembre 2006, 18:04:54 | |
| Dernière modification le : Mercredi 27 Avril 2011, 11:25:22 | |
