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dc.contributor.authorCao, C
dc.contributor.authorGuo, Y
dc.contributor.authorTiti, Edriss
dc.date.accessioned2022-01-04T13:28:39Z
dc.date.available2022-01-04T13:28:39Z
dc.date.issued2021-09
dc.identifier.issn1424-3199
dc.identifier.others00028-020-00644-4
dc.identifier.other644
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/331871
dc.descriptionFunder: Einstein Stiftung Berlin; doi: http://dx.doi.org/10.13039/501100006188
dc.description.abstractWe analyze a three-dimensional rapidly rotating convection model of tall columnar structure in the limit of infinite Prandtl number, i.e., when the momentum diffusivity is much more dominant than the thermal diffusivity. Consequently, the dynamics of the velocity field takes place at a much faster time scale than the temperature fluctuation, and at the limit the velocity field formally adjusts instantaneously to the thermal fluctuation. We prove the global well-posedness of weak solutions and strong solutions to this model.
dc.languageen
dc.publisherSpringer Science and Business Media LLC
dc.subjectArticle
dc.subjectRayleigh–Bénard convection
dc.subjectRotational fluid flow
dc.subjectCyclonic and anticyclonic coherent structures
dc.subjectIncompressible
dc.subjectInfinite Prandtl number
dc.subjectGlobal well-posedness
dc.subjectWeak solutions
dc.subjectStrong solutions
dc.subject35A01
dc.subject35A02
dc.subject35Q35
dc.subject35K55
dc.titleGlobal well-posedness for a rapidly rotating convection model of tall columnar structure in the limit of infinite Prandtl number
dc.typeArticle
dc.date.updated2022-01-04T13:28:38Z
prism.endingPage2954
prism.issueIdentifier3
prism.publicationNameJournal of Evolution Equations
prism.startingPage2923
prism.volume21
dc.identifier.doi10.17863/CAM.79321
dcterms.dateAccepted2020-10-23
rioxxterms.versionofrecord10.1007/s00028-020-00644-4
rioxxterms.versionVoR
rioxxterms.licenseref.urihttp://creativecommons.org/licenses/by/4.0/
dc.contributor.orcidTiti, Edriss [0000-0002-5004-1746]
dc.identifier.eissn1424-3202
cam.issuedOnline2020-11-09


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