A Regularity Criterion in Terms of Pressure for the 3D Viscous MHD Equations

作者：Gala, Sadek^*; Ragusa, Maria Alessandra; Zhang, Zujin

来源：Bulletin of the Malaysian Mathematical Sciences Society, 2017, 40(4): 1677-1690.

DOI：10.1007/s40840-015-0160-y

• MHD equations
• Regularity criteria
• Besov spaces

In this note, we are concerned with the regularity of solutions of the MHD equation in terms of the pressure. More precisely, it is proved that if the pressure satisfies the critical growth condition
pi(x, t) is an element of L2/2|r (0, T, B-infinity infinity(r)(R-3))
for - 1 <= r <= 1, then the solution remains smooth on (0, T]. The finding is mainly based on the innovative function decomposition methods together with Besov space techniques. Here. B(infinity infinity)(r)denotes the homogeneous Besov space.

• 出版日期2017-10
• 单位赣南师范大学