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Exponential stability of an incompressible non-Newtonian fluid with delay

dc.creatorLiu, Linfanges
dc.creatorCaraballo Garrido, Tomáses
dc.creatorFu, Xianlonges
dc.date.accessioned2019-09-05T11:32:03Z
dc.date.available2019-09-05T11:32:03Z
dc.date.issued2018-12
dc.identifier.citationLiu, L., Caraballo Garrido, T. y Fu, X. (2018). Exponential stability of an incompressible non-Newtonian fluid with delay. Discrete and Continuous Dynamical Systems - Series B, 23 (10), 4285-4303.
dc.identifier.issn1531-3492es
dc.identifier.issn1553-524Xes
dc.identifier.urihttps://hdl.handle.net/11441/88961
dc.description.abstractThe existence and uniqueness of stationary solutions to an incompressible non-Newtonian fluid are first established. The exponential stability of steady-state solutions is then analyzed by means of four different approaches. The first is the classical Lyapunov function method, while the second one is based on a Razumikhin type argument. Then, a method relying on the construction of Lyapunov functionals and another one using a Gronwall-like lemma are also exploited to study the stability, respectively. Some comments concerning several open research directions about this model are also included.es
dc.description.sponsorshipMinisterio de Economía y Competitividad (MINECO). Españaes
dc.description.sponsorshipEuropean Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER)es
dc.description.sponsorshipJunta de Andalucíaes
dc.description.sponsorshipNational Science Foundation of Chinaes
dc.description.sponsorshipScience and Technology Commission of Shanghai Municipalityes
dc.description.sponsorshipShanghai Leading Academic Discipline Projectes
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherAmerican Institute of Mathematical Scienceses
dc.relation.ispartofDiscrete and Continuous Dynamical Systems - Series B, 23 (10), 4285-4303.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectExponential stabilityes
dc.subjectStationary solutiones
dc.subjectNon-Newtonian fluidses
dc.subjectDelayes
dc.titleExponential stability of an incompressible non-Newtonian fluid with delayes
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/submittedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numéricoes
dc.relation.projectIDMTM2015-63723-Pes
dc.relation.projectIDP12-FQM-1492es
dc.relation.projectID11671142es
dc.relation.projectID11371087es
dc.relation.projectID13dz2260400es
dc.relation.projectIDB407es
dc.relation.publisherversionhttps://www.aimsciences.org/article/doi/10.3934/dcdsb.2018138es
dc.identifier.doi10.3934/dcdsb.2018138es
dc.contributor.groupUniversidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferencialeses
idus.format.extent19 p.es
dc.journaltitleDiscrete and Continuous Dynamical Systems - Series Bes
dc.publication.volumen23es
dc.publication.issue10es
dc.publication.initialPage4285es
dc.publication.endPage4303es

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