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arXiv · 1209.1648

BV solutions constructed by epsilon-neighborhood method

Mach Nguyet Minh
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Abstract

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 Savaré.

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Mach Nguyet Minh. 2016-02-10. BV solutions constructed by epsilon-neighborhood method. https://doi.org/10.1051/cocv%2F2015001

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