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Extension criterion via two-components of vorticity on strong solutions to the 3 D Navier-Stokes equations

✍ Scribed by Hideo Kozono; Naoki Yatsu


Book ID
105874563
Publisher
Springer-Verlag
Year
2004
Tongue
French
Weight
169 KB
Volume
246
Category
Article
ISSN
0025-5874

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On the regularity criterion of axisymmet
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In this paper, we consider the regularity criterion of axisymmetric weak solutions to the Navier-Stokes equations in R 3 . Let u be an axisymmetric weak solution in R 3 Γ— (0, T ), w = curl u, and w ΞΈ be the azimuthal component of w in the cylindrical coordinates. It is proved that u becomes a regula