Handle URI:
http://hdl.handle.net/10754/597889
Title:
COUPLED CHEMOTAXIS FLUID MODEL
Authors:
LORZ, ALEXANDER
Abstract:
We consider a model system for the collective behavior of oxygen-driven swimming bacteria in an aquatic fluid. In certain parameter regimes, such suspensions of bacteria feature large-scale convection patterns as a result of the hydrodynamic interaction between bacteria. The presented model consist of a parabolicparabolic chemotaxis system for the oxygen concentration and the bacteria density coupled to an incompressible Stokes equation for the fluid driven by a gravitational force of the heavier bacteria. We show local existence of weak solutions in a bounded domain in d, d = 2, 3 with no-flux boundary condition and in 2 in the case of inhomogeneous Dirichlet conditions for the oxygen. © 2010 World Scientific Publishing Company.
Citation:
LORZ A (2010) COUPLED CHEMOTAXIS FLUID MODEL. Mathematical Models and Methods in Applied Sciences 20: 987–1004. Available: http://dx.doi.org/10.1142/S0218202510004507.
Publisher:
World Scientific Pub Co Pte Lt
Journal:
Mathematical Models and Methods in Applied Sciences
KAUST Grant Number:
KUK-I1-007-43
Issue Date:
Jun-2010
DOI:
10.1142/S0218202510004507
Type:
Article
ISSN:
0218-2025; 1793-6314
Sponsors:
This is based on work supported by Award No. KUK-I1-007-43, made by King Abdullah University of Science and Technology (KAUST). A. L. would like to thank Peter Markowich, Adrien Blanchet and Klemens Fellner for useful discussions, Prof. Ray Goldstein and the Goldstein Lab. at DAMTP for ongoing and invaluable discussions as well as for permission to use the pictures. Moreover, A. L. would like to kindly thank the referee for his highly useful comments in order to improve this paper.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorLORZ, ALEXANDERen
dc.date.accessioned2016-02-25T12:58:24Zen
dc.date.available2016-02-25T12:58:24Zen
dc.date.issued2010-06en
dc.identifier.citationLORZ A (2010) COUPLED CHEMOTAXIS FLUID MODEL. Mathematical Models and Methods in Applied Sciences 20: 987–1004. Available: http://dx.doi.org/10.1142/S0218202510004507.en
dc.identifier.issn0218-2025en
dc.identifier.issn1793-6314en
dc.identifier.doi10.1142/S0218202510004507en
dc.identifier.urihttp://hdl.handle.net/10754/597889en
dc.description.abstractWe consider a model system for the collective behavior of oxygen-driven swimming bacteria in an aquatic fluid. In certain parameter regimes, such suspensions of bacteria feature large-scale convection patterns as a result of the hydrodynamic interaction between bacteria. The presented model consist of a parabolicparabolic chemotaxis system for the oxygen concentration and the bacteria density coupled to an incompressible Stokes equation for the fluid driven by a gravitational force of the heavier bacteria. We show local existence of weak solutions in a bounded domain in d, d = 2, 3 with no-flux boundary condition and in 2 in the case of inhomogeneous Dirichlet conditions for the oxygen. © 2010 World Scientific Publishing Company.en
dc.description.sponsorshipThis is based on work supported by Award No. KUK-I1-007-43, made by King Abdullah University of Science and Technology (KAUST). A. L. would like to thank Peter Markowich, Adrien Blanchet and Klemens Fellner for useful discussions, Prof. Ray Goldstein and the Goldstein Lab. at DAMTP for ongoing and invaluable discussions as well as for permission to use the pictures. Moreover, A. L. would like to kindly thank the referee for his highly useful comments in order to improve this paper.en
dc.publisherWorld Scientific Pub Co Pte Lten
dc.subjectChemotaxis fluid couplingen
dc.subjectoxygentaxisen
dc.titleCOUPLED CHEMOTAXIS FLUID MODELen
dc.typeArticleen
dc.identifier.journalMathematical Models and Methods in Applied Sciencesen
dc.contributor.institutionUniversity of Cambridge, Cambridge, United Kingdomen
kaust.grant.numberKUK-I1-007-43en
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