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Partial Regularity of Weak Solutions to the Navier—Stokes Equations in the Class $ L^{infty}(0,T;, L^3(Omega)^3) $

✍ Scribed by J. Neustupa


Book ID
105761137
Publisher
Springer
Year
1999
Tongue
English
Weight
426 KB
Volume
1
Category
Article
ISSN
1422-6928

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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