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dc.contributor.authorLorz, Alexander
dc.date.accessioned2021-09-16T12:33:57Z
dc.date.available2021-09-16T12:33:57Z
dc.date.issued2012
dc.identifier.citationLorz, A. (2012). A coupled Keller–Segel–Stokes model: global existence for small initial data and blow-up delay. Communications in Mathematical Sciences, 10(2), 555–574. doi:10.4310/cms.2012.v10.n2.a7
dc.identifier.issn1539-6746
dc.identifier.doi10.4310/cms.2012.v10.n2.a7
dc.identifier.urihttp://hdl.handle.net/10754/671270
dc.description.abstractWe study a system consisting of the elliptic-parabolic Keller-Segel equations coupled to Stokes equations by transport and gravitational forcing. We show global-in-time existence of solutions for small initial mass in 2D. In 3D we establish global existence assuming that the initial L(3/2)-norm is small. Moreover, we give numerical evidence that for this extension of the Keller-Segel system in 2D, solutions exist with mass above 8 pi, which is the critical mass for the system without fluid.
dc.description.sponsorshipKing Abdullah University of Science & Technology.
dc.rightsArchived with thanks to COMMUNICATIONS IN MATHEMATICAL SCIENCES
dc.subjectKeller-Segel
dc.subjectchemotaxis
dc.subjectStokes
dc.subjectglobal existence
dc.subjectblow-up
dc.titleA COUPLED KELLER-SEGEL-STOKES MODEL: GLOBAL EXISTENCE FOR SMALL INITIAL DATA AND BLOW-UP DELAY
dc.typeArticle
dc.identifier.journalCOMMUNICATIONS IN MATHEMATICAL SCIENCES
dc.identifier.wosutWOS:000297999000007
dc.eprint.versionPost-print
dc.identifier.volume10
dc.identifier.issue2
dc.identifier.pages555-574
kaust.grant.numberKUK-I1-007-43


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