Calculus of Variations and Geometric Measure Theory

D. Knees - C. Zanini

Existence of parameterized BV-solutions for rate-independent systems with discontinuous loads

created by knees on 25 Sep 2019
modified on 26 Sep 2019


Submitted Paper

Inserted: 25 sep 2019
Last Updated: 26 sep 2019

Year: 2019
Links: arXiv


We study a rate-independent system with non-convex energy and in the case of a time-discontinuous loading. We prove existence of the rate-dependent viscous regularization by time-incremental problems, while the existence of the so called parameterized BV-solutions is obtained via vanishing viscosity in a suitable parameterized setting. In addition, we prove that the solution set is compact.