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

dc.date.accessioned	2019-09-26T08:23:44Z
dc.date.available	2019-09-26T08:23:44Z
dc.date.issued	2019-09-25
dc.identifier	doi:10.17170/kobra-20190925705
dc.identifier.uri	http://hdl.handle.net/123456789/11318
dc.language.iso	eng
dc.rights	Urheberrechtlich geschützt
dc.rights.uri	https://rightsstatements.org/page/InC/1.0/
dc.subject	rate-independent system	eng
dc.subject	discontinuous load	eng
dc.subject	parameterized BV-solution	eng
dc.subject	time-incremental minimum problems	eng
dc.subject	vanishing viscosity limit	eng
dc.subject.ddc	510
dc.title	Existence of parameterized BV-solutions for rate-independent systems with discontinuous loads	eng
dc.type	Preprint
dcterms.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.	eng
dcterms.accessRights	open access
dcterms.creator	Knees, Dorothee
dcterms.creator	Zanini, Chiara
dcterms.extent	26 Seiten
dcterms.isPartOf	Mathematische Schriften Kassel ;; [2019, 01]
dc.contributor.corporatename	Kassel, Universität Kassel, Fachbereich Mathematik und Naturwissenschaften, Institut für Mathematik
dc.relation.projectid	DFG KN 1131/3-1
dc.type.version	submittedVersion
dcterms.source.journal	Mathematische Schriften Kassel	eng
dcterms.source.volume	03/2019