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The Regularity of Weak Solutions of the 3D Navier–Stokes Equations in({B^{-1}_{infty,infty}})

✍ Scribed by A. Cheskidov; R. Shvydkoy


Book ID
105872276
Publisher
Springer
Year
2009
Tongue
English
Weight
158 KB
Volume
195
Category
Article
ISSN
0003-9527

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On the regularity criterion of axisymmet
✍ Sadek Gala 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 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 × (0, T ), w = curl u, and w θ be the azimuthal component of w in the cylindrical coordinates. It is proved that u becomes a regula