A regularity criterion for the three-dimensional MHD equations in terms of one directional derivative of the pressure

作者：Gala Sadek; Guo Zhengguang^*; Ragusa Maria Alessandra

来源：Computers & Mathematics with Applications, 2015, 70(12): 3057-3061.

DOI：10.1016/j.camwa.2015.10.014

• MHD equations
• Regularity criteria

In this work, we will establish a sufficient condition for the regularity criterion to the 3D MHD equations in terms of one directional derivative of the pressure. More precisely, we prove that if
partial derivative pi/partial derivative x(3) (x, t) is an element of L2/1-r (0, T; M-2,M-3/r (R-3)) for 0 < r < 1,
then the solution (u, b) is regular. We obtain some improvement of the related results in Berselli and Galdi (2002), Cao and Wu (2010), Jia and Zhou (2012), Lin and Du (2013) and Yamazaki (2013).

• 出版日期2015-12
• 单位温州大学