Hamiltonian inclusions with convex dissipation with a view towards applications
Functional Analysis
2019-02-18 v3 Optimization and Control
Abstract
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.
Cite
@article{arxiv.0810.1419,
title = {Hamiltonian inclusions with convex dissipation with a view towards applications},
author = {Marius Buliga},
journal= {arXiv preprint arXiv:0810.1419},
year = {2019}
}