References
- Duvaut G, Lions JL. Inéquations en thermoé lasticité et magnéto-hydrodynamique. Arch. Rational Mech. Anal. 1972;46:241–279.
- Sermange M, Temam R. Some mathematical questions related to the MHD equations. Commun. Pure Appl. Math. 1983;36:635–664.
- He C, Xin Z. On the regularity of weak solutions to the magnetohydrodynamic equations. J. Differ. Equ. 2005;213:235–254.
- Zhou Y. Remarks on regularities for the 3D MHD equations. Discrete Contin. Dyn. Syst. 2005;12:881–886.
- Zhou Y, Gala S. Regularity criteria for the solutions to the 3D MHD equations in the multiplier space. Z. Angew. Math. Phys. 2010;61:193–199.
- Zhou Y, Gala S. A new regularity criterion for weak solutions to the viscous MHD equations in terms of the vorticity field. Nonlinear Anal. 2010;72:3643–3648.
- Jia X, Zhou Y. Regularity criteria for the 3D MHD equations involving partial components. Nonlinear Anal. Real World Appl. 2012;13:410–418.
- Ni L, Guo Z, Zhou Y. Some new regularity criteria for the 3D MHD equations. J. Math. Anal. Appl. 2012;396:108–118.
- Cao C, Wu J. Two regularity criteria for the 3D MHD equations. J. Differ. Equ. 2010;248:2263–2274.
- Jia XJ, Zhou Y. A new regularity criterion for the 3D incompressible MHD equations in terms of one component of the gradient of pressure. J. Math. Anal. Appl. 2012;396:345–350.
- Zhang ZJ, Li P, Yu GH. Regularity criteria for the 3D MHD equations via one directional derivative of the pressure. J. Math. Anal. Appl. 2013;401:66–71.
- Duan HL. On regularity criteria in terms of pressure for the 3D viscous MHD equations. Appl. Anal. 2012;91:947–952.
- Fan J, Jiang S, Nakamura G, et al. Logarithmically improved regularity criteria for the Navier--Stokes and MHD equations. J. Math. Fluid Mech. 2011;13:5576571.
- Jia X, Zhou Y. Regularity criteria for the 3D MHD equations via partial derivatives. Kinet. Relat. Models. 2012;5:505–516.
- Zhou Y. Regularity criteria for the 3D MHD equations in terms of the pressure. Int. J. Non-Linear Mech. 2006;41:1174–1180.
- Zhou Y, Fan J. Logarithmically improved regularity criteria for the 3D viscous MHD equations. Forum Math. 2012;24:691–708.
- Gala S. Extension criterion on regularity for weak solutions to the 3D MHD equations. Math. Methods Appl. Sci. 2010;33:1496–1503.
- He C, Wang Y. Remark on the regularity for weak solutions to the magnetohydrodynamic equations. Math. Methods Appl. Sci. 2008;31:1667–1684.
- Mahalov A, Nicolaenko B, Shilkin T. L3,α solutions to the MHD equations. J. Math. Sci. 2007;143:2911–2923.