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Evolutionary variational-hemivariational inequalities with applications to dynamic viscoelastic contact mechanics
parabolic variational–hemivariational inequality
history-dependent operator
existence
Clarke subgradient
dynamic viscoelastic contact problem
weak solution
The purpose of this work is to introduce and investigate a complicated variational–hemivariational inequality of parabolic type with history-dependent operators. First, we establish an existence and uniqueness theorem for a first-order nonlinear evolution inclusion problem, which is driven by a convex subdifferential operator for a proper convex function and a generalized Clarke subdifferential operator for a locally Lipschitz superpotential. Then, we employ the fixed point principle for history-dependent operators to deliver the unique solvability of the parabolic variational–hemivariational inequality. Finally, a dynamic viscoelastic contact problem with the nonlinear constitutive law involving a convex subdifferential inclusion is considered as an illustrative application, where normal contact and friction are described, respectively, by two nonconvex and nonsmooth multi-valued terms.
cris.lastimport.wos | 2024-04-10T00:55:49Z | |
dc.abstract.en | The purpose of this work is to introduce and investigate a complicated variational–hemivariational inequality of parabolic type with history-dependent operators. First, we establish an existence and uniqueness theorem for a first-order nonlinear evolution inclusion problem, which is driven by a convex subdifferential operator for a proper convex function and a generalized Clarke subdifferential operator for a locally Lipschitz superpotential. Then, we employ the fixed point principle for history-dependent operators to deliver the unique solvability of the parabolic variational–hemivariational inequality. Finally, a dynamic viscoelastic contact problem with the nonlinear constitutive law involving a convex subdifferential inclusion is considered as an illustrative application, where normal contact and friction are described, respectively, by two nonconvex and nonsmooth multi-valued terms. | pl |
dc.affiliation | Wydział Matematyki i Informatyki | pl |
dc.contributor.author | Han, Jiangfeng | pl |
dc.contributor.author | Lu, Liang | pl |
dc.contributor.author | Zeng, Shengda - 378084 | pl |
dc.date.accessioned | 2020-02-26T08:57:54Z | |
dc.date.available | 2020-02-26T08:57:54Z | |
dc.date.issued | 2020 | pl |
dc.date.openaccess | 0 | |
dc.description.accesstime | w momencie opublikowania | |
dc.description.version | ostateczna wersja wydawcy | |
dc.description.volume | 71 | pl |
dc.identifier.articleid | 32 | pl |
dc.identifier.doi | 10.1007/s00033-020-1260-6 | pl |
dc.identifier.eissn | 1420-9039 | pl |
dc.identifier.issn | 0044-2275 | pl |
dc.identifier.project | 823731 – CONMECH | pl |
dc.identifier.project | 2017/25/N/ST1/00611 | pl |
dc.identifier.project | ROD UJ / OP | pl |
dc.identifier.uri | https://ruj.uj.edu.pl/xmlui/handle/item/150165 | |
dc.language | eng | pl |
dc.language.container | eng | pl |
dc.rights | Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa | * |
dc.rights.licence | CC-BY | |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/legalcode.pl | * |
dc.share.type | inne | |
dc.subject.en | parabolic variational–hemivariational inequality | pl |
dc.subject.en | history-dependent operator | pl |
dc.subject.en | existence | pl |
dc.subject.en | Clarke subgradient | pl |
dc.subject.en | dynamic viscoelastic contact problem | pl |
dc.subject.en | weak solution | pl |
dc.subtype | Article | pl |
dc.title | Evolutionary variational-hemivariational inequalities with applications to dynamic viscoelastic contact mechanics | pl |
dc.title.journal | Zeitschrift für angewandte Mathematik und Physik | pl |
dc.type | JournalArticle | pl |
dspace.entity.type | Publication |
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