Résolution en temps court d'une équation de Hamilton–Jacobi non locale décrivant la dynamique d'une dislocation |
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| Authors: | Olivier Alvarez Philippe Hoch Yann Le Bouar Régis Monneau |
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| Affiliation: | 1. Lab. Math. R. Salem, site Colbert, Université de Rouen, 76821 Mont-Saint-Aignan cedex, France;2. CEA/DAM Ile de France, Service DCSA/SSEL, BP 12, 91680 Bruyères Le Chatel, France;3. Lab. d''étude des microstructures, CNRS-ONERA, 29, av. de la division Leclerc, BP 72, 92322 Châtillon, France;4. CERMICS, ENPC, 6 et 8, avenue Blaise Pascal, cité Descartes, Champs-sur-Marne, 77455 Marne-la-Vallée cedex 2, France |
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| Abstract: | This Note studies a nonlocal geometric Hamilton–Jacobi equation that models the motion of a planar dislocation in a crystal. Within the framework of viscosity solutions and of the level-set approach, we show that the equation has a unique solution on a small time interval when the initial curve is the graph of a Lipschitz bounded function. To cite this article: O. Alvarez et al., C. R. Acad. Sci. Paris, Ser. I 338 (2004). |
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