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    A COUPLED KELLER-SEGEL-STOKES MODEL: GLOBAL EXISTENCE FOR SMALL INITIAL DATA AND BLOW-UP DELAY

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    Type
    Article
    Authors
    Lorz, Alexander
    KAUST Grant Number
    KUK-I1-007-43
    Date
    2012
    Permanent link to this record
    http://hdl.handle.net/10754/671270
    
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    Abstract
    We 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.
    Citation
    Lorz, 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
    Sponsors
    King Abdullah University of Science & Technology.
    Journal
    COMMUNICATIONS IN MATHEMATICAL SCIENCES
    DOI
    10.4310/cms.2012.v10.n2.a7
    ae974a485f413a2113503eed53cd6c53
    10.4310/cms.2012.v10.n2.a7
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