Dissipativity of Fractional Navier–Stokes Equations with Variable Delay

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimizacióngl
dc.contributor.authorLiu, Lin F.
dc.contributor.authorNieto Roig, Juan José
dc.date.accessioned2020-12-16T15:19:21Z
dc.date.available2020-12-16T15:19:21Z
dc.date.issued2020
dc.description.abstractWe use classical Galerkin approximations, the generalized Aubin–Lions Lemma as well as the Bellman–Gronwall Lemma to study the asymptotical behavior of a two-dimensional fractional Navier–Stokes equation with variable delay. By modifying the fractional Halanay inequality and the comparison principle, we investigate the dissipativity of the corresponding system, namely, we obtain the existence of global absorbing set. Besides, some available results are improved in this work. The existence of a global attracting set is still an open problemgl
dc.description.peerreviewedSIgl
dc.description.sponsorshipThe work of Lin F. Liu has been partially supported by NSF of China (Nos. 11901448, 11871022 and 11671142) as well as by China Postdoctoral Science Foundation Grant (Nos. 2018M643610). The work of Juan J. Nieto has been partially supported by the Agencia Estatal de Investigación (AEI) of Spain, co-financed by the European Fund for Regional Development (FEDER) corresponding to the 2014-2020 multiyear financial framework, project MTM2016-75140-P, Xunta de Galicia under grant ED431C 2019/02; by Instituto de Salud Carlos III (Spain), grant COV20/00617gl
dc.identifier.citationLiu, L.F.; Nieto, J.J. Dissipativity of Fractional Navier–Stokes Equations with Variable Delay. Mathematics 2020, 8, 2037gl
dc.identifier.doi10.3390/math8112037
dc.identifier.essn2227-7390
dc.identifier.urihttp://hdl.handle.net/10347/24036
dc.language.isoenggl
dc.publisherMDPIgl
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2016-75140-P/ES
dc.relation.publisherversionhttps://doi.org/10.3390/math8112037gl
dc.rights© 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/)gl
dc.rightsAtribución 4.0 Internacional
dc.rights.accessRightsopen accessgl
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectFractional Navier–Stokes equationsgl
dc.subjectVariable delaygl
dc.subjectModified fractional Halanay inequalitygl
dc.subjectGeneralized comparison principlegl
dc.subjectDissipativitygl
dc.titleDissipativity of Fractional Navier–Stokes Equations with Variable Delaygl
dc.typejournal articlegl
dc.type.hasVersionVoRgl
dspace.entity.typePublication
relation.isAuthorOfPublication85e127ae-7ec7-48e4-bb4a-8eb83882ea26
relation.isAuthorOfPublication.latestForDiscovery85e127ae-7ec7-48e4-bb4a-8eb83882ea26

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