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Journal of Convex Analysis 15 (2008), No. 3, 523--534
Copyright Heldermann Verlag 2008

Irreversible Quasistatic Evolutions by Minimizing Movements

Dorin Bucur
Laboratoire de Mathématiques, Université de Savoie, Campus Scientifique, 73376 Le-Bourget-du-Lac, France

Giuseppe Buttazzo
Dip. di Matematica, Università di Pisa, Largo B. Pontecorvo 5, 56127 Pisa, Italy

We present an abstract framework for irreversible rate independent evolution processes of quasi-static nature. The main tool relies on the minimizing movement theory. In particular situations, stability and energy inequality of Mielke's type are satisfied. Several examples are given, among which the obstacle erosion.

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