seminar: Rate independent evolution problems with nonconvex energies
speaker: Gianni Dal Maso (SISSA, Trieste)abstract: The purpose of the talk is to introduce some genaral tools for the study of evolution problems in the framework of Young measures. The notion of time-dependent system of generalized Young measures allows to extend to this setting the classical notions of total variation and absolute continuity in a time interval, as well as the notion of time derivative. The main results are a Helly type theorem for sequences of systems of generalized Young measures and a theorem about the existence of the time derivative in the case of absolutely continuous dependence on time. The main application of these results is the study of some rate-independent evolution problems with nonconvex energies which occur in some linerized models of plasticity with softening.
timetable:
Thu 19 Jan, 11:30 - 12:15, Sala Stemmi
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