A new regularity criterion for weak solutions to the viscous MHD equations in terms of the vorticity field

作者：Zhou Yong^*; Gala Sadek

来源：Nonlinear Analysis-Theory Methods & Applications, 2010, 72(9-10): 3643-3648.

DOI：10.1016/j.na.2009.12.045

• MHD equations
• Regularity criterion
• Morrey-Campanato spaces

In this paper, we consider regularity criterion for solutions to the 3D viscous incompressible MHD equations in Morrey-Campanato spaces. It is proved that if the vorticity field omega = del x u belongs to (M) over dot(2), (3/r) for 0 < r <= 1 on [0, T], then the solution remains smooth on [0, T].

• 出版日期2010-5-1
• 单位浙江师范大学