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Regularity criteria of axisymmetric weak solutions to the 3D magnetohydrodynamic equations

✍ Scribed by Bao-quan Yuan, Feng-ping Li

Book ID
120965670
Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2013
Tongue
English
Weight
280 KB
Volume
29
Category
Article
ISSN
0168-9673

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πŸ“œ SIMILAR VOLUMES

On the regularity criterion of axisymmet
On the regularity criterion of axisymmetric weak solutions to the 3D Navier–Stokes equations
✍ 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

Remark on the regularity for weak soluti
Remark on the regularity for weak solutions to the magnetohydrodynamic equations
✍ Cheng He; Yun Wang πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 160 KB

## Abstract We study the regularity criteria for weak solutions to the incompressible magnetohydrodynamic (MHD) equations. Some regularity criteria, which are related only with __u__+__B__ or __u__βˆ’__B__, are obtained for weak solutions to the MHD equations. Copyright Β© 2008 John Wiley & Sons, Ltd.