Global classical solutions in chemotaxis(-Navier)-Stokes system with rotational flux term (Q329254)
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scientific article; zbMATH DE number 6642128
| Language | Label | Description | Also known as |
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| English | Global classical solutions in chemotaxis(-Navier)-Stokes system with rotational flux term |
scientific article; zbMATH DE number 6642128 |
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Global classical solutions in chemotaxis(-Navier)-Stokes system with rotational flux term (English)
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21 October 2016
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The Navier-Stokes equations coupled with the Keller-Segel system with rather general matrix-valued sensitivity function are considered in two space dimensions, and the Stokes-Keller-Segel system in three dimensions. Under smallness assumptions on the initial concentration of the chemoattractant, the global in time existence of classical solutions is proved together with some stabilization estimates.
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chemotaxis
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Navier-Stokes system
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global existence
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large time behavior
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