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dc.contributor.authorLiu, Jian-Guo
dc.contributor.authorLorz, Alexander
dc.date.accessioned2016-02-25T12:28:53Z
dc.date.available2016-02-25T12:28:53Z
dc.date.issued2011-09
dc.identifier.citationLiu 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.
dc.identifier.issn0294-1449
dc.identifier.doi10.1016/j.anihpc.2011.04.005
dc.identifier.urihttp://hdl.handle.net/10754/597247
dc.description.abstractWe 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.
dc.description.sponsorshipThis 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.
dc.publisherElsevier BV
dc.titleA coupled chemotaxis-fluid model: Global existence
dc.typeArticle
dc.identifier.journalAnnales de l'Institut Henri Poincare (C) Non Linear Analysis
dc.contributor.institutionDuke University, Durham, United States
dc.contributor.institutionUniversity of Cambridge, Cambridge, United Kingdom
kaust.grant.numberKUK-I1-007-43


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