COUPLED CHEMOTAXIS FLUID MODEL

ALEXANDER LORZ

Research output: Contribution to journalArticlepeer-review

162 Scopus citations

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.
Original languageEnglish (US)
Pages (from-to)987-1004
Number of pages18
JournalMathematical Models and Methods in Applied Sciences
Volume20
Issue number06
DOIs
StatePublished - Apr 26 2012
Externally publishedYes

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