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Minimisation and Ambrosio-Tortorelli approximation for the Griffith energy with Dirichlet condition

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No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Crismale, Vito

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Minimisation and Ambrosio-Tortorelli approximation for the Griffith energy with Dirichlet condition
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Minimisation and Ambrosio-Tortorelli approximation of the Griffith energy with Dirichlet boundary condition
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I will present recent works about the minimisation of the Griffith energy for brittle fracture in elastic materials, under Dirichlet boundary conditions. Together with Antonin Chambolle (CMAP, École Polytechnique) we have proven the existence of minimisers and a phase-field approximation à la Ambrosio-Tortorelli for this energy.