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dc.contributor.authorCao, Yu
dc.contributor.authorJolly, Michael S
dc.contributor.authorTiti, Edriss S
dc.contributor.authorWhitehead, Jared P
dc.date.accessioned2021-07-02T11:34:10Z
dc.date.available2021-07-02T11:34:10Z
dc.date.issued2021-01-22
dc.date.submitted2019-05-03
dc.identifier.issn0951-7715
dc.identifier.othernonabb1c6
dc.identifier.otherabb1c6
dc.identifier.othernon-103619.r1
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/324719
dc.descriptionFunder: John Simon Guggenheim Memorial Foundation; doi: https://doi.org/10.13039/100005851
dc.descriptionFunder: Einstein Visiting Fellow Program
dc.description.abstractAbstract: The Rayleigh–Bénard system with stress-free boundary conditions is shown to have a global attractor in each affine space where velocity has fixed spatial average. The physical problem is shown to be equivalent to one with periodic boundary conditions and certain symmetries. This enables a Gronwall estimate on enstrophy. That estimate is then used to bound the L 2 norm of the temperature gradient on the global attractor, which, in turn, is used to find a bounding region for the attractor in the enstrophy–palinstrophy plane. All final bounds are algebraic in the viscosity and thermal diffusivity, a significant improvement over previously established estimates. The sharpness of the bounds are tested with numerical simulations.
dc.languageen
dc.publisherIOP Publishing
dc.subjectPaper
dc.subjectRayleigh–Bénard convection
dc.subjectglobal attractor
dc.subjectsynchronization
dc.subject35Q35
dc.subject76E06
dc.subject76F35
dc.subject34D06
dc.titleAlgebraic bounds on the Rayleigh–Bénard attractor
dc.typeArticle
dc.date.updated2021-07-02T11:34:10Z
prism.endingPage531
prism.issueIdentifier1
prism.publicationNameNonlinearity
prism.startingPage509
prism.volume34
dc.identifier.doi10.17863/CAM.72172
dcterms.dateAccepted2020-08-24
rioxxterms.versionofrecord10.1088/1361-6544/abb1c6
rioxxterms.versionVoR
rioxxterms.licenseref.urihttps://creativecommons.org/licenses/by/3.0/
dc.contributor.orcidJolly, Michael S [0000-0002-7158-0933]
dc.contributor.orcidTiti, Edriss S [0000-0002-5004-1746]
dc.identifier.eissn1361-6544
pubs.funder-project-idSimons Foundation (586788)
pubs.funder-project-idNational Science Foundation (DMS-1418911 DMS-1818754)


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