Hamiltonian inclusions with convex dissipation with a view towards applications
نویسنده
چکیده
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. MSC 2000: 34G25; 70H05; 74R05
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