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On the regularity of the axisymmetric solutions of the Navier-Stokes equations

✍ Scribed by Dongho Chae; Jihoon Lee


Publisher
Springer-Verlag
Year
2002
Tongue
French
Weight
262 KB
Volume
239
Category
Article
ISSN
0025-5874

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On the regularity criterion of axisymmet
✍ Sadek Gala πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 224 KB

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