A COUPLED KELLER-SEGEL-STOKES MODEL: GLOBAL EXISTENCE FOR SMALL INITIAL DATA AND BLOW-UP DELAY
KAUST Grant NumberKUK-I1-007-43
Permanent link to this recordhttp://hdl.handle.net/10754/671270
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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.
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
SponsorsKing Abdullah University of Science & Technology.