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Regularity criteria for a coupled Navier-Stokes and \(Q\)-tensor system - MaRDI portal

Regularity criteria for a coupled Navier-Stokes and \(Q\)-tensor system (Q355596)

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scientific article; zbMATH DE number 6191094
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Regularity criteria for a coupled Navier-Stokes and \(Q\)-tensor system
scientific article; zbMATH DE number 6191094

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    Regularity criteria for a coupled Navier-Stokes and \(Q\)-tensor system (English)
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    25 July 2013
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    Summary: We study a system describing the evolution of a nematic liquid crystal flow. The system couples a forced Navier-Stokes system describing the flow with a parabolic-type system describing the evolution of the nematic crystal director fields (\(Q\)-tensors). We prove some regularity criteria for the local strong solutions. However, we do not provide estimates on the rates of increase of high norms.
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