A coupled chemotaxis-fluid model: Global existence

Jian-Guo Liu; Alexander Lorz

doi:10.1016/j.anihpc.2011.04.005

A coupled chemotaxis-fluid model: Global existence

Jian-Guo Liu, Alexander Lorz

Research output: Contribution to journal › Article › peer-review

244 Scopus citations

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.

Original language	English (US)
Pages (from-to)	643-652
Number of pages	10
Journal	Annales de l'Institut Henri Poincare (C) Non Linear Analysis
Volume	28
Issue number	5
DOIs	https://doi.org/10.1016/j.anihpc.2011.04.005
State	Published - Sep 2011
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-I1-007-43
Acknowledgements: 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.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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title = "A coupled chemotaxis-fluid model: Global existence",

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.{\textcopyright} 2011 Elsevier Masson SAS. All rights reserved.",

author = "Jian-Guo Liu and Alexander Lorz",

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AU - Lorz, Alexander

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A coupled chemotaxis-fluid model: Global existence

Abstract

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