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    A coupled chemotaxis-fluid model: Global existence

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    Type
    Article
    Authors
    Liu, Jian-Guo
    Lorz, Alexander
    KAUST Grant Number
    KUK-I1-007-43
    Date
    2011-09
    Permanent link to this record
    http://hdl.handle.net/10754/597247
    
    Metadata
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    Abstract
    We consider a model arising from biology, consisting of chemotaxis equations coupled to viscous incompressible fluid equations through transport and external forcing. Global existence of solutions to the Cauchy problem is investigated under certain conditions. Precisely, for the chemotaxis-Navier- Stokes system in two space dimensions, we obtain global existence for large data. In three space dimensions, we prove global existence of weak solutions for the chemotaxis-Stokes system with nonlinear diffusion for the cell density.© 2011 Elsevier Masson SAS. All rights reserved.
    Citation
    Liu J-G, Lorz A (2011) A coupled chemotaxis-fluid model: Global existence. Annales de l’Institut Henri Poincare (C) Non Linear Analysis 28: 643–652. Available: http://dx.doi.org/10.1016/j.anihpc.2011.04.005.
    Sponsors
    This research is supported by Award No. KUK-I1-007-43, made by King Abdullah University of Science and Technology (KAUST). Jian-Guo Liu acknowledges support by NSF grant DMS-0811177.
    Publisher
    Elsevier BV
    Journal
    Annales de l'Institut Henri Poincaré C, Analyse non linéaire
    DOI
    10.1016/j.anihpc.2011.04.005
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.anihpc.2011.04.005
    Scopus Count
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