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Reverse Approximation of Energetic Solutions to Rate-Independent Processes |
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| Authors: | Alexander Mielke Filip Rindler |
| Institution: | 1. Weierstra? Institut für Angewandte Analysis und Stochastik, Mohrenstra?e 39, 10117, Berlin, Germany 2. Mathematisches Institut, Humboldt Universit?t zu Berlin, Rudower Chaussee 25, 12489, Berlin, Germany 3. Institut für Mathematik, Technische Universit?t Berlin, Sekr. 2-2 Stra?e des 17. Juni 136, 10623, Berlin, Germany |
| Abstract: | Energetic solutions to rate-independent processes are usually constructed via time-incremental minimization problems. In this work we show that all energetic solutions can be approximated by such incremental problems if we allow for approximate minimizers, where the error in minimization has to be of the order of the time step. Moreover, we study sequences of problems where the energy functionals have a Γ-limit. Research partially supported by Deutsche Forschungsgemeinschaft via the MATHEON project C18. |
| Keywords: | " target="_blank"> Rate-independent processes energetic solutions approximate incremental problems gamma convergence |
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