BV solutions constructed by epsilon-neighborhood method
| Autor: | Minh, Mach Nguyet |
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| Rok vydání: | 2012 |
| Předmět: | |
| Zdroj: | ESAIM: COCV 22 (2016) 188-207 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1051/cocv/2015001 |
| Popis: | We study a certain class of weak solutions to rate-independent systems, which is constructed by using the local minimality in a small neighborhood of order $\varepsilon$ and then taking the limit $\varepsilon \to 0$. We show that the resulting solution satisfies both the weak local stability and the new energy-dissipation balance, similarly to the BV solutions constructed by vanishing viscosity introduced recently by Mielke, Rossi and Savar\'e. |
| Databáze: | arXiv |
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