Preprint
Existence of parameterized BV-solutions for rate-independent systems with discontinuous loads
Abstract
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.
Citation
@article{doi:10.17170/kobra-20190925705,
author={Knees, Dorothee and Zanini, Chiara},
title={Existence of parameterized BV-solutions for rate-independent systems with discontinuous loads},
year={2019}
}
0500 Oax 0501 Text $btxt$2rdacontent 0502 Computermedien $bc$2rdacarrier 1100 2019$n2019 1500 1/eng 2050 ##0##http://hdl.handle.net/123456789/11318 3000 Knees, Dorothee 3010 Zanini, Chiara 4000 Existence of parameterized BV-solutions for rate-independent systems with discontinuous loads / Knees, Dorothee 4030 4060 Online-Ressource 4085 ##0##=u http://nbn-resolving.de/http://hdl.handle.net/123456789/11318=x R 4204 \$dPreprint 4170 Mathematische Schriften Kassel ;; [2019, 01] 7136 ##0##http://hdl.handle.net/123456789/11318
<resource xsi:schemaLocation="http://datacite.org/schema/kernel-2.2 http://schema.datacite.org/meta/kernel-2.2/metadata.xsd"> 2019-09-26T08:23:44Z 2019-09-26T08:23:44Z 2019-09-25 doi:10.17170/kobra-20190925705 http://hdl.handle.net/123456789/11318 eng Urheberrechtlich geschützt https://rightsstatements.org/page/InC/1.0/ rate-independent system discontinuous load parameterized BV-solution time-incremental minimum problems vanishing viscosity limit 510 Existence of parameterized BV-solutions for rate-independent systems with discontinuous loads Preprint 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. open access Knees, Dorothee Zanini, Chiara 26 Seiten Mathematische Schriften Kassel ;; [2019, 01] Kassel, Universität Kassel, Fachbereich Mathematik und Naturwissenschaften, Institut für Mathematik DFG KN 1131/3-1 submittedVersion Mathematische Schriften Kassel 03/2019 </resource>
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