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Eventual smoothness and stabilization in a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization - MaRDI portal

Eventual smoothness and stabilization in a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization (Q2139622)

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Eventual smoothness and stabilization in a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization
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    Eventual smoothness and stabilization in a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization (English)
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    18 May 2022
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    The authors study a system of coupled parabolic chemotaxis and hydrodynamics equations, with a specific tensor valued sensitivity function, considered in three-dimensional domains. The regularization effect for weak solutions of this system relevant to coral fertilization model is established, and stabilization of solutions to homogeneous states is proved.
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    Keller-Segel equations
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    Navier-Stokes equations
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    coral fertilization model
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    tensor valued sensitivity function
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    asymptotic behavior
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