Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Andreia, Merlin | - |
dc.contributor.author | Meyer, Christian | - |
dc.date.accessioned | 2023-10-09T12:57:28Z | - |
dc.date.available | 2023-10-09T12:57:28Z | - |
dc.date.issued | 2023-08 | - |
dc.identifier.issn | 2190-1767 | - |
dc.identifier.uri | http://hdl.handle.net/2003/42125 | - |
dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-23958 | - |
dc.description.abstract | We consider a rate-independent system with nonconvex energy under discontinuous external loading. The underlying space is finite dimensional and the loads are functions in BV([0, T]; ℝ^d). We investigate the stability of various solution concepts w.r.t. a sequence of loads converging weakly∗ in BV([0, T]; ℝ^d) with a particular emphasis on the so-called normalized, pparametrized balanced viscosity solutions. By means of two counterexamples, it is shown that common solution concepts are not stable w.r.t. weak∗ convergence of loads in the sense that a limit of a sequence of solutions associated with these loads need not be a solution corresponding to the load in the limit. We moreover introduce a new solution concept, which is stable in this sense, but our examples show that this concept necessarily allows “solutions” that are physically meaningless. | en |
dc.language.iso | en | - |
dc.relation.ispartofseries | Ergebnisberichte des Instituts für Angewandte Mathematik;667 | - |
dc.subject | rate-independent systems | en |
dc.subject | local solutions | en |
dc.subject | paramterized BV solutions | en |
dc.subject | stability of solutions | en |
dc.subject | discontinuous loads | en |
dc.subject.ddc | 610 | - |
dc.title | On a lack of stability of parametrized BV solutions to rate-independent systems with non-convex energies and discontinuous loads | en |
dc.type | Text | - |
dc.type.publicationtype | Preprint | - |
dcterms.accessRights | open access | - |
eldorado.secondarypublication | false | - |
Appears in Collections: | Ergebnisberichte des Instituts für Angewandte Mathematik |
Files in This Item:
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Ergebnisbericht Nr. 667.pdf | DNB | 503.93 kB | Adobe PDF | View/Open |
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