Attractors for Navier-Stokes flows with multivalued and nonmonotone subdifferential boundary conditions

2014
journal article
article
12
cris.lastimport.wos2024-04-09T20:10:54Z
dc.abstract.enWe consider two-dimensional nonstationary Navier–Stokes shear flow with multivalued and nonmonotone boundary conditions on a part of the boundary of the flow domain. We prove the existence of global in time solutions of the considered problem which is governed by a partial differential inclusion with a multivalued term in the form of Clarke subdifferential. Then we prove the existence of a trajectory attractor and a weak global attractor for the associated multivalued semiflow. This research is motivated by control problems for fluid flows in domains with semipermeable walls and membranes.pl
dc.affiliationWydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowaniapl
dc.contributor.authorKalita, Piotr - 128604 pl
dc.contributor.authorŁukaszewicz, Grzegorzpl
dc.date.accessioned2015-03-03T08:40:52Z
dc.date.available2015-03-03T08:40:52Z
dc.date.issued2014pl
dc.description.physical75-88pl
dc.description.volume19pl
dc.identifier.doi10.1016/j.nonrwa.2014.03.002pl
dc.identifier.eissn1878-5719pl
dc.identifier.issn1468-1218pl
dc.identifier.urihttp://ruj.uj.edu.pl/xmlui/handle/item/3447
dc.languageengpl
dc.language.containerengpl
dc.rights.licencebez licencji
dc.subtypeArticlepl
dc.titleAttractors for Navier-Stokes flows with multivalued and nonmonotone subdifferential boundary conditionspl
dc.title.journalNonlinear Analysis. Real World Applicationspl
dc.typeJournalArticlepl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-09T20:10:54Z
dc.abstract.enpl
We consider two-dimensional nonstationary Navier–Stokes shear flow with multivalued and nonmonotone boundary conditions on a part of the boundary of the flow domain. We prove the existence of global in time solutions of the considered problem which is governed by a partial differential inclusion with a multivalued term in the form of Clarke subdifferential. Then we prove the existence of a trajectory attractor and a weak global attractor for the associated multivalued semiflow. This research is motivated by control problems for fluid flows in domains with semipermeable walls and membranes.
dc.affiliationpl
Wydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowania
dc.contributor.authorpl
Kalita, Piotr - 128604
dc.contributor.authorpl
Łukaszewicz, Grzegorz
dc.date.accessioned
2015-03-03T08:40:52Z
dc.date.available
2015-03-03T08:40:52Z
dc.date.issuedpl
2014
dc.description.physicalpl
75-88
dc.description.volumepl
19
dc.identifier.doipl
10.1016/j.nonrwa.2014.03.002
dc.identifier.eissnpl
1878-5719
dc.identifier.issnpl
1468-1218
dc.identifier.uri
http://ruj.uj.edu.pl/xmlui/handle/item/3447
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights.licence
bez licencji
dc.subtypepl
Article
dc.titlepl
Attractors for Navier-Stokes flows with multivalued and nonmonotone subdifferential boundary conditions
dc.title.journalpl
Nonlinear Analysis. Real World Applications
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations

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