Global classical solutions of a 3D chemotaxis-Stokes system with rotation (Q500164)
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scientific article; zbMATH DE number 6488092
| Language | Label | Description | Also known as |
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| English | Global classical solutions of a 3D chemotaxis-Stokes system with rotation |
scientific article; zbMATH DE number 6488092 |
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Global classical solutions of a 3D chemotaxis-Stokes system with rotation (English)
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1 October 2015
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The authors consider a chemotaxis-Stokes system modelling the collective behavior of chemotaxis-driven swimming aerobic bacteria in three-dimensional domains. The matrix-valued sensitivity function is rather general so that the system does not possess a gradient-like functional structure. Nevertheless, a new energy-type inequality is established, and this is the crucial tool in the proof of the existence of a global classical solution.
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chemotaxis
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Stokes system
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energy functional
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global solution
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