Type
ArticleAuthors
Liu, Jian-GuoLorz, Alexander
KAUST Grant Number
KUK-I1-007-43Date
2011-09Permanent link to this record
http://hdl.handle.net/10754/597247
Metadata
Show full item recordAbstract
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 BVae974a485f413a2113503eed53cd6c53
10.1016/j.anihpc.2011.04.005