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Extension criterion via partial components of vorticity on strong solutions to the Navier-Stokes equations in higher dimensions - MaRDI portal

Extension criterion via partial components of vorticity on strong solutions to the Navier-Stokes equations in higher dimensions (Q2013162)

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scientific article; zbMATH DE number 6756307
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Extension criterion via partial components of vorticity on strong solutions to the Navier-Stokes equations in higher dimensions
scientific article; zbMATH DE number 6756307

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    Extension criterion via partial components of vorticity on strong solutions to the Navier-Stokes equations in higher dimensions (English)
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    3 August 2017
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    The author extends a regularity criterion of strong solutions of the three-dimensional Navier-Stokes system in terms of two components of the vorticity [\textit{D. Chae} and \textit{H.-J. Choe}, Electron. J. Differ. Equ. 1999, Paper No. 5, 7 p. (1999; Zbl 0923.35117)] to the \(N\) dimensional case by showing that \([N/2]\) components of the vortex matrix are redundant for that regularity/extension criterion.
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    regularity of solutions of the Navier-Stokes system
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    vorticity components
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