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Archive Ouverte HAL-UPMC | |
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| HAL : hal-00643453, version 1 |
| arXiv : 1111.5141 |
| Fiche détaillée |  Récupérer au format |
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| Versions disponibles : | v1 (22-11-2011) | v2 (20-03-2012) |
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| Mean curvature flow with obstacles |
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| Luís Almeida 1Antonin Chambolle 2 |
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| (20/11/2011) |
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| We consider the evolution of fronts by mean curvature in the presence of obstacles. We construct a weak solution to the flow by means of a variational method, corresponding to an implicit time-discretization scheme. Assuming the regularity of the obstacles, in the two-dimensional case we show existence and uniqueness of a regular solution before the onset of singularities. Finally, we discuss an application of this result to the positive mean curvature flow. |
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| 1 : | Laboratoire Jacques-Louis Lions (LJLL) |
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CNRS : UMR7598 – Université Pierre et Marie Curie [UPMC] - Paris VI |
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| 2 : | Centre de Mathématiques Appliquées - Ecole Polytechnique (CMAP) |
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Polytechnique - X – CNRS : UMR7641 |
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| 3 : | Dipartimento di Matematica Pura ed Applicata |
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Università degli studi di Padova |
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| Domaine | : | Mathématiques/Analyse numérique |
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| obstacle problem – mean curvature flow – minimizing movements |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00643453, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00643453 | |
| oai:hal.archives-ouvertes.fr:hal-00643453 | |
| Contributeur : Antonin Chambolle | |
| Soumis le : Lundi 21 Novembre 2011, 22:44:53 | |
| Dernière modification le : Mardi 22 Novembre 2011, 10:49:09 | |
