Simple proof of two-well rigidity

Camillo De Lellis; László Székelyhidi

doi:10.1016/j.crma.2006.07.008

Calculus of Variations

Simple proof of two-well rigidity
[Une démonstration simple d'une estimation de rigidité pour deux puits]

Présenté par : John M. Ball

Camillo De Lellis ¹ ; László Székelyhidi ²

¹ Institut für Mathematik, Universität Zürich, CH-8057 Zürich
² Departement Mathematik, ETH Zürich, CH-8092 Zürich

Comptes Rendus. Mathématique, Volume 343 (2006) no. 5, pp. 367-370.

Abstract (VO)
Résumé

We give a short proof of the rigidity estimate of Müller and Chaudhuri for two strongly incompatible wells. Making strong use of the arguments of Ball and James our approach shows that incompatibility for gradient Young measures can be used to reduce rigidity estimates for several wells to one-well rigidity.

Nous donnons une démonstration simple d'une estimation de rigidité de Müller et Chaudhuri pour deux puits fortement incompatibles. Nous employons un argument de Ball et James pour montrer que l'incompatibilité pour les mesures de Young engendrées par des gradients permet de réduire les estimations de rigidité pour plusieurs puits à celles pour un puit.

Reçu le : 2006-03-13
Accepté le : 2006-07-04
Publié le : 2006-07-25

DOI : 10.1016/j.crma.2006.07.008

Affiliations des auteurs :

Camillo De Lellis ¹ ; László Székelyhidi ²

¹ Institut für Mathematik, Universität Zürich, CH-8057 Zürich
² Departement Mathematik, ETH Zürich, CH-8092 Zürich

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Camillo De Lellis; László Székelyhidi. Simple proof of two-well rigidity. Comptes Rendus. Mathématique, Volume 343 (2006) no. 5, pp. 367-370. doi : 10.1016/j.crma.2006.07.008. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.07.008/

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