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dc.contributor.authorCao, Yuen
dc.contributor.authorJolly, Michael Sen
dc.contributor.authorTiti, Edrissen
dc.date.accessioned2020-05-11T23:30:14Z
dc.date.available2020-05-11T23:30:14Z
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/305197
dc.description.abstractWe construct a determining form for the 2D Rayleigh-B\'enard (RB) system in a strip with solid horizontal boundaries, in the cases of no-slip and stress-free boundary conditions. The determining form is an ODE in a Banach space of trajectories whose steady states comprise the long-time dynamics of the RB system. In fact, solutions on the global attractor of the RB system can be further identified through the zeros of a scalar equation to which the ODE reduces for each initial trajectory. The twist in this work is that the trajectories are for the velocity field only, which in turn determines the corresponding trajectories of the temperature.
dc.rightsAll rights reserved
dc.rights.uri
dc.subjectmath.APen
dc.subjectmath.APen
dc.subject35Q35, 37L25, 76E60en
dc.titleA Determining Form for the 2D Rayleigh-Bénard Problemen
dc.typeArticle
prism.publicationNamePure and Applied Functional Analysisen
dc.identifier.doi10.17863/CAM.52284
dcterms.dateAccepted2020-04-26en
rioxxterms.versionAM
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2020-04-26en
dc.contributor.orcidTiti, Edriss [0000-0002-5004-1746]
rioxxterms.typeJournal Article/Reviewen
cam.orpheus.counter41*
rioxxterms.freetoread.startdate2023-05-11


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