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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The Chemotaxis-Navier Stokes Equations in Bounded Domain

The Chemotaxis-Navier Stokes Equations in Bounded Domain

Kim, Yong-Ho
Ri, Kwang-Ok

Paperback

General Mathematics

ISBN10: 6208847354
ISBN13: 9786208847357
Publisher: Scholars' Press
Published: May 27 2025
Pages: 80
Weight: 0.26
Height: 0.19 Width: 6.00 Depth: 9.00
Language: English
When bacteria of the species Bacillus subtilis are suspended in water, it can be observed experimentally that spatial patterns may spontaneously emerge from initially almost homogeneous distributions of bacteria. A mathematical model for such processes was proposed in many literatures, where it is assumed that the essentially responsible mechanisms are a chemotactic movement of bacteria towards oxygen which they consume, a gravitational effect on the motion of the fluid by the heavier bacteria, and a convective transport of both cells and oxygen through the water. We've studied chemotaxis-Navier-Stokes systems for several years and obtained some important results. In the current edition, we synthesis and analysis these results as well as make our effort to give the proofs of them in detail and perfectly. However, in this process, we have benefited enormously. In conclusion, we hope that the interested scientist will enjoy this book and derive great benefit from reading it just as we did while writing it.

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