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Evolutionary Oseen model for generalized Newtonian fluid with Multivalued Nonmonotone Friction Law
Oseen model
generalized Newtonian fluid
hemivariational inequality
L-pseudomonotonicity
Clarke subdifferential
friction-type law
slip boundary condition
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.abstract.en | 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. | pl |
dc.affiliation | Wydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowania | pl |
dc.contributor.author | Migórski, Stanisław - 130585 | pl |
dc.contributor.author | Dudek, Sylwia | pl |
dc.date.accessioned | 2018-09-14T08:12:19Z | |
dc.date.available | 2018-09-14T08:12:19Z | |
dc.date.issued | 2018 | pl |
dc.date.openaccess | 0 | |
dc.description.accesstime | w momencie opublikowania | |
dc.description.number | 3 | pl |
dc.description.physical | 1317-1333 | pl |
dc.description.version | ostateczna wersja wydawcy | |
dc.description.volume | 20 | pl |
dc.identifier.doi | 10.1007/s00021-018-0367-4 | pl |
dc.identifier.eissn | 1422-6952 | pl |
dc.identifier.issn | 1422-6928 | pl |
dc.identifier.project | DEC-2012/06/A/ST1/00262 | pl |
dc.identifier.project | 3792/GGPJ/H2020/2017/0 | pl |
dc.identifier.project | ROD UJ / OP | pl |
dc.identifier.uri | https://ruj.uj.edu.pl/xmlui/handle/item/56961 | |
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 | Oseen model | pl |
dc.subject.en | generalized Newtonian fluid | pl |
dc.subject.en | hemivariational inequality | pl |
dc.subject.en | L-pseudomonotonicity | pl |
dc.subject.en | Clarke subdifferential | pl |
dc.subject.en | friction-type law | pl |
dc.subject.en | slip boundary condition | pl |
dc.subtype | Article | pl |
dc.title | Evolutionary Oseen model for generalized Newtonian fluid with Multivalued Nonmonotone Friction Law | pl |
dc.title.journal | Journal of Mathematical Fluid Mechanics | pl |
dc.type | JournalArticle | pl |
dspace.entity.type | Publication |
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