期刊
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
卷 20, 期 6, 页码 987-1004出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218202510004507
关键词
Chemotaxis fluid coupling; oxygentaxis
资金
- King Abdullah University of Science and Technology (KAUST) [KUK-I1-007-43]
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 parabolic-parabolic chemotaxis system for the oxygen concentration and the bacteria density coupled to an incompressible Stokes equation for the uid driven by a gravitational force of the heavier bacteria. We show local existence of weak solutions in a bounded domain in R(d), d = 2; 3 with no-flux boundary condition and in R(2) in the case of inhomogeneous Dirichlet conditions for the oxygen.
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