CRM: Centro De Giorgi
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Variational methods in Material Science

seminar: Rigid displacements with cracks

speaker: Antonin Chambolle (CNRS, CEREMADE, Université Paris Dauphine)

abstract: We will discuss some properties of (G)SBV functions. In general, the curl of the approximate gradient of such a function can apparently be a nasty object. However, in a simple case (bounded gradient, jump with finite surface), it is shown to be a measure controlled by the surface measure of the jump. A consequence is a "piecewise rigidity" result for displacements with gradient almost everywhere a rotation, and jump with finite surface. This is a joint work with A. Giacomini and M. Ponsiglione.


timetable:
Wed 11 Oct, 17:00 - 17:55, Aula Dini
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