Hamiltonian inclusions with convex dissipation with a view towards applications

Details Hamiltonian inclusions with convex dissipation with a view towards applications Hamiltonian inclusions with convex dissipation with a view towards applications

2008-10-08

arxiv.org/abs/0810.1419v3

Annals AORS, Mathematics and its Appl. 1 (2) 2009, 228-251

Mathematics

Functional Analysis

Scientific paper

We propose a generalization of hamiltonian mechanics, as a hamiltonian
inclusion with convex dissipation function. We obtain a dynamical version of
the approach of Mielke to quasistatic rate-independent processes. Then we show
that a class of models of dynamical brittle damage can be formulated in this
setting.

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