Minimisation and Ambrosio-Tortorelli approximation of the Griffith energy with Dirichlet boundary condition
Dr. Vito Crismale, CMAP, École Polytechnique, Paris.
Sala conferenze IMATI-CNR, Pavia - Tuesday, November 27, 2018 h.15:00
Abstract. I will present recent works about the minimisation of the Griffith energy for brittle fracture, 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 the Griffith energy, generalising the corresponding results for the Mumford-Shah functional in image reconstruction.
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