Global well-posedness of axisymmetric solution to the 3D axisymmetric chemotaxis-Navier-Stokes equations with logistic source (Q2217322)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global well-posedness of axisymmetric solution to the 3D axisymmetric chemotaxis-Navier-Stokes equations with logistic source |
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Global well-posedness of axisymmetric solution to the 3D axisymmetric chemotaxis-Navier-Stokes equations with logistic source (English)
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29 December 2020
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The system of coupled chemotaxis and incompressible Navier-Stokes equations is studied in the three-dimensional space. The main result is that axisymmetric solutions corresponding to reasonably regular initial data are unique, global-in-time and regular. A novel type apriori inequalities are used in the proofs together with nice symmetry arguments.
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chemotaxis
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logistic source
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Navier-Stokes system
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global-in-time solutions
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