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Description
In this talk we will review some basic results in the theory of rate-independent processes; these processes arise naturally in the modelisation of mechanical systems where no intrinsic time scale is present, and are described by an evolution balance equation between the dissipative and conservative forces of the system.
After a brief review of some basic existence and uniqueness results, we will prove that, under some uniform convexity assumption on the potential of conservative forces, the solutions are Lipschitz continuous in time. Finally, we will present how this result can also be obtained by studying the regularity of the minimizers of some variational problems on BV curves.
