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Regularity and decay properties of weak solutions to Navier-Stokes equations in general domains - MaRDI portal

Regularity and decay properties of weak solutions to Navier-Stokes equations in general domains (Q2269738)

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Regularity and decay properties of weak solutions to Navier-Stokes equations in general domains
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    Regularity and decay properties of weak solutions to Navier-Stokes equations in general domains (English)
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    11 March 2010
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    Summary: We consider the regularity of weak solutions and find some regular criteria for 3D non-stationary Navier-Stokes equations. Moreover, we establish decay rates for weak solutions in general domains by means of the spectral decomposition method of fractional powers of the Stokes operator.
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    Navier-Stokes equations
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    Serrin's condition
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    regularity criterion
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