TY - JOUR
T1 - A coupled chemotaxis-fluid model: Global existence
AU - Liu, Jian-Guo
AU - Lorz, Alexander
N1 - 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.
PY - 2011/9
Y1 - 2011/9
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/597247
UR - https://linkinghub.elsevier.com/retrieve/pii/S0294144911000497
UR - http://www.scopus.com/inward/record.url?scp=80052950789&partnerID=8YFLogxK
U2 - 10.1016/j.anihpc.2011.04.005
DO - 10.1016/j.anihpc.2011.04.005
M3 - Article
SN - 0294-1449
VL - 28
SP - 643
EP - 652
JO - Annales de l'Institut Henri Poincare (C) Non Linear Analysis
JF - Annales de l'Institut Henri Poincare (C) Non Linear Analysis
IS - 5
ER -