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Well-posedness of history-dependent evolution inclusions with applications

2019
journal article
article
10.1007/s00033-019-1158-3
Journal
Zeitschrift für angewandte Mathematik und Physik
70
Author
Migórski Stanisław

Bai Yunru
Volume
70
Article ID
114
ISSN
0044-2275
eISSN
1420-9039
Keywords in English

evolution inclusion

variational–hemivariational inequality

Clarke subdifferential

history-dependent operator

existence and uniqueness

frictional contact

semipermeability

Language
English
Journal language
English
Abstract in English

In this paper, we study a class of evolution subdifferential inclusions involving history-dependent operators. We improve our previous theorems on existence and uniqueness and produce a continuous dependence result with respect to weak topologies under a weaker smallness condition. Two applications are provided to a frictional viscoelastic contact problem with long memory, and to a nonsmooth semipermeability problem.

Affiliation
Wydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowania
Scopus© citations
11
cris.lastimport.wos2024-04-09T20:22:25Z
dc.abstract.enIn this paper, we study a class of evolution subdifferential inclusions involving history-dependent operators. We improve our previous theorems on existence and uniqueness and produce a continuous dependence result with respect to weak topologies under a weaker smallness condition. Two applications are provided to a frictional viscoelastic contact problem with long memory, and to a nonsmooth semipermeability problem.pl
dc.affiliationWydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowaniapl
dc.contributor.authorMigórski, Stanisław - 130585 pl
dc.contributor.authorBai, Yunru - 378121 pl
dc.date.accessioned2019-09-26T07:20:47Z
dc.date.available2019-09-26T07:20:47Z
dc.date.issued2019pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.versionostateczna wersja wydawcy
dc.description.volume70pl
dc.identifier.articleid114pl
dc.identifier.doi10.1007/s00033-019-1158-3pl
dc.identifier.eissn1420-9039pl
dc.identifier.issn0044-2275pl
dc.identifier.projectH2020-MSCA-RISE-2018pl
dc.identifier.project823731 CONMECHpl
dc.identifier.projectROD UJ / OPpl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/83459
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/legalcode.pl*
dc.share.typeinne
dc.subject.enevolution inclusionpl
dc.subject.envariational–hemivariational inequalitypl
dc.subject.enClarke subdifferentialpl
dc.subject.enhistory-dependent operatorpl
dc.subject.enexistence and uniquenesspl
dc.subject.enfrictional contactpl
dc.subject.ensemipermeabilitypl
dc.subtypeArticlepl
dc.titleWell-posedness of history-dependent evolution inclusions with applicationspl
dc.title.journalZeitschrift für angewandte Mathematik und Physikpl
dc.typeJournalArticlepl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-09T20:22:25Z
dc.abstract.enpl
In this paper, we study a class of evolution subdifferential inclusions involving history-dependent operators. We improve our previous theorems on existence and uniqueness and produce a continuous dependence result with respect to weak topologies under a weaker smallness condition. Two applications are provided to a frictional viscoelastic contact problem with long memory, and to a nonsmooth semipermeability problem.
dc.affiliationpl
Wydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowania
dc.contributor.authorpl
Migórski, Stanisław - 130585
dc.contributor.authorpl
Bai, Yunru - 378121
dc.date.accessioned
2019-09-26T07:20:47Z
dc.date.available
2019-09-26T07:20:47Z
dc.date.issuedpl
2019
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
70
dc.identifier.articleidpl
114
dc.identifier.doipl
10.1007/s00033-019-1158-3
dc.identifier.eissnpl
1420-9039
dc.identifier.issnpl
0044-2275
dc.identifier.projectpl
H2020-MSCA-RISE-2018
dc.identifier.projectpl
823731 CONMECH
dc.identifier.projectpl
ROD UJ / OP
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/83459
dc.languagepl
eng
dc.language.containerpl
eng
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.enpl
evolution inclusion
dc.subject.enpl
variational–hemivariational inequality
dc.subject.enpl
Clarke subdifferential
dc.subject.enpl
history-dependent operator
dc.subject.enpl
existence and uniqueness
dc.subject.enpl
frictional contact
dc.subject.enpl
semipermeability
dc.subtypepl
Article
dc.titlepl
Well-posedness of history-dependent evolution inclusions with applications
dc.title.journalpl
Zeitschrift für angewandte Mathematik und Physik
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations
Wydział Matematyki i Informatyki
Migórski, Stanisław
Bai, Yunru

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Except as otherwise noted, this item is licensed under : Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa

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