Remarks on regularities for the 3D MHD equations

By Yong Zhou. 2005

268 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8244f56817c925158ddc3ae3c06533469df0c5c9

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Sadek Gala
2. Changxing Miao
3. Shangkun Weng
4. Baoquan Yuan
5. Zhifei Zhang
6. Qionglei Chen
7. Yong Zhou
8. Dongho Chae

In Computational Theory and Mathematics

1. Sadek Gala
2. Baoquan Yuan
3. Changxing Miao
4. Zhifei Zhang
5. Qionglei Chen
6. Shangkun Weng
7. Dongho Chae
8. Yong Zhou

In Mathematical Physics

1. Sadek Gala
2. Changxing Miao
3. Baoquan Yuan
4. Shangkun Weng
5. Zhifei Zhang
6. Qionglei Chen
7. Yong Zhou
8. Dongho Chae

Citations in the corpus

• The Beale-Kato-Majda Criterion for the 3D Magneto-Hydrodynamics Equations (2007, background): “The authors wish to thank Prof.Zhouping Xin for stimulating discussion about this problem.”
• Liouville type theorems for the steady axially symmetric Navier-Stokes and magnetohydrodynamic equations (2015, background): “Similar regularity criteria has been developed in [11] and [20] for unsteady MHD equations.”
• On the Regularity Criterion of Weak Solution for the 3D Viscous Magneto-Hydrodynamics Equations (2007, background): “However, some numerical experiments [15] seem to indicate that the velocity field plays the more important role than the magnetic field in the regularity theory of solutions to the MHD equations.”
• Regularity criteria for the solutions to the 3D MHD equations in the multiplier space (2010, methodology): “as 0 ≤ r 11 ].”
• On regularity criteria for weak solutions to the micropolar fluid equations in Lorentz space (2010, background): “Later, Zhou [36] improved these regularity criteria imposed only on u or its gradient ∇ u , and He and Wang [11] improved them to weak L p spaces, imposed only on u or its gradient ∇ u ; Chen, Miao and Zhang [6] also improved the criteria to a more general Besov-type space on Littlewood-Paley…”
• Regularity criteria for the generalized viscous MHD equations (2007, methodology): “So a lot of literatures are devoted to find regularity criteria or prove partial regularity for these equations, such as [1–4,7,9,12,14,17–20,22] for Navier–Stokes equations, and [5,10,16,21] for MHD equations.”