Evolutionary Oseen model for generalized Newtonian fluid with Multivalued Nonmonotone Friction Law

2018
journal article
article
35
dc.abstract.enThe paper deals with the non-stationary Oseen system of equations for the generalized Newtonian incompressible fluid with multivalued and nonmonotone frictional slip boundary conditions. First, we provide a result on existence of a unique solution to an abstract evolutionary inclusion involving the Clarke subdifferential term for a nonconvex function. We employ a method based on a surjectivity theorem for multivalued L-pseudomonotone operators. Then, we exploit the abstract result to prove the weak unique solvability of the Oseen system.pl
dc.affiliationWydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowaniapl
dc.contributor.authorMigórski, Stanisław - 130585 pl
dc.contributor.authorDudek, Sylwiapl
dc.date.accessioned2018-09-14T08:12:19Z
dc.date.available2018-09-14T08:12:19Z
dc.date.issued2018pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number3pl
dc.description.physical1317-1333pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume20pl
dc.identifier.doi10.1007/s00021-018-0367-4pl
dc.identifier.eissn1422-6952pl
dc.identifier.issn1422-6928pl
dc.identifier.projectDEC-2012/06/A/ST1/00262pl
dc.identifier.project3792/GGPJ/H2020/2017/0pl
dc.identifier.projectROD UJ / OPpl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/56961
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.enOseen modelpl
dc.subject.engeneralized Newtonian fluidpl
dc.subject.enhemivariational inequalitypl
dc.subject.enL-pseudomonotonicitypl
dc.subject.enClarke subdifferentialpl
dc.subject.enfriction-type lawpl
dc.subject.enslip boundary conditionpl
dc.subtypeArticlepl
dc.titleEvolutionary Oseen model for generalized Newtonian fluid with Multivalued Nonmonotone Friction Lawpl
dc.title.journalJournal of Mathematical Fluid Mechanicspl
dc.typeJournalArticlepl
dspace.entity.typePublication
dc.abstract.enpl
The paper deals with the non-stationary Oseen system of equations for the generalized Newtonian incompressible fluid with multivalued and nonmonotone frictional slip boundary conditions. First, we provide a result on existence of a unique solution to an abstract evolutionary inclusion involving the Clarke subdifferential term for a nonconvex function. We employ a method based on a surjectivity theorem for multivalued L-pseudomonotone operators. Then, we exploit the abstract result to prove the weak unique solvability of the Oseen system.
dc.affiliationpl
Wydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowania
dc.contributor.authorpl
Migórski, Stanisław - 130585
dc.contributor.authorpl
Dudek, Sylwia
dc.date.accessioned
2018-09-14T08:12:19Z
dc.date.available
2018-09-14T08:12:19Z
dc.date.issuedpl
2018
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.numberpl
3
dc.description.physicalpl
1317-1333
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
20
dc.identifier.doipl
10.1007/s00021-018-0367-4
dc.identifier.eissnpl
1422-6952
dc.identifier.issnpl
1422-6928
dc.identifier.projectpl
DEC-2012/06/A/ST1/00262
dc.identifier.projectpl
3792/GGPJ/H2020/2017/0
dc.identifier.projectpl
ROD UJ / OP
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/56961
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
Oseen model
dc.subject.enpl
generalized Newtonian fluid
dc.subject.enpl
hemivariational inequality
dc.subject.enpl
L-pseudomonotonicity
dc.subject.enpl
Clarke subdifferential
dc.subject.enpl
friction-type law
dc.subject.enpl
slip boundary condition
dc.subtypepl
Article
dc.titlepl
Evolutionary Oseen model for generalized Newtonian fluid with Multivalued Nonmonotone Friction Law
dc.title.journalpl
Journal of Mathematical Fluid Mechanics
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations

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