BV solutions constructed by epsilon-neighborhood method

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 $\epsilon$ and then taking the limit $\epsilon \to 0$. 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.

References in corpus (2)

• BV solutions and viscosity approximations of rate-independent systems
• Balanced Viscosity (BV) solutions to infinite-dimensional rate-independent systems