Lemenant: Regularity of minimizers of the Griffith functional in 2d - (online)
Lemenant: In this talk I will present some C^1 estimates that we have recently obtained on (connected) Griffith minimizers in the planar context with Jean-François Babadjian and Flaviana Iurlano. This functional arises from a variational model of brittle fracture. As it is similar (but much more complicated) than the famous scalar analogue: the Mumford-Shah functional, I will also take the opportunity to rapidly review the classical regularity theory for free-discontinuity problems in order to enlight the encoutered difficulties with the vectorial case. Finally, I will explain how to strengthen the Hausdorff dimension of the singular set, following a work in progress with C. Labourie. http://cvgmt.sns.it/seminar/834/
When
Tue Sep 7, 2021 9:30am – 10:30am Coordinated Universal Time
