Abstract

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

Author information

Contact details are reproduced from the original publication and may be historical.

Dorin Bucur

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

dorin.bucur@univ-savoie.fr

Giuseppe Buttazzo

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

buttazzo@dm.unipi.it

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Suggested citation

D. Bucur, G. Buttazzo. “Irreversible Quasistatic Evolutions by Minimizing Movements.” Journal of Convex Analysis 15 (2008), No. 3, 523–534. https://doi.org/10.68381/jca15037

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Published by Heldermann Verlag, 2008. Rights now held by Banach Press LLC.