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Global existence for an attraction-repulsion chemotaxis-fluid system in a framework of Besov-Morrey type - MaRDI portal

Global existence for an attraction-repulsion chemotaxis-fluid system in a framework of Besov-Morrey type (Q2659859)

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Global existence for an attraction-repulsion chemotaxis-fluid system in a framework of Besov-Morrey type
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    Global existence for an attraction-repulsion chemotaxis-fluid system in a framework of Besov-Morrey type (English)
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    29 March 2021
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    A system of chemotaxis with attraction-repulsion interactions and logistic source is coupled with the Navier-Stokes system. Global-in-time existence of solutions in three-dimensional domains is studied in functional spaces of Besov type modelled on Morrey spaces. Compared to the simplest Keller-Segel-Navier-Stokes system some new difficulties related to poor scaling properties of the system studied appear.
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    chemotaxis
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    attraction-repulsion
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    logistic source
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    Navier-Stokes
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    global-in-time solutions
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    Besov-Morrey space
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