MURPHYS-HSFS-2014 - 7th International Workshop on Multi-Rate Processes & Hysteresis, 2nd International Workshop on Hysteresis and Slow-Fast Systems, April 7-11, 2014 - Abstract

Stefanelli, Ulisse

The rate-independent limit $p to 1$

I would like to present a stability result for doubly nonlinear equations featuring general maximal monotone operators, and (possibly) nonconvex and nonsmooth energy functionals. The limit analysis resides on the reformulation of the differential evolution as a scalar energy-conservation equation with the aid of the so-called Fitzpatrick theory for the representation of monotone operators. In particular, the result applies to the rate-independent limit $p to 1$ for $p$-viscous approximating rate-dependent problems. This is joint work with Thomas Roche and Riccarda Rossi.