A logarithmically improved regularity criterion for the 3D MHD system involving the velocity field in homogeneous Besov spaces

作者：Zhang, Zujin^*

来源：Annales Polonici Mathematici, 2016, 118(1): 51-57.

DOI：10.4064/ap3952-9-2016

• MHD equations
• regularity criteria
• regularity of solutions

We consider a regularity criterion for the 3D MHD equations. It is proved that if
integral(T)(0) vertical bar vertical bar u(T)vertical bar vertical bar(2/(1+r))(B infinity infinity r) / 1 vertical bar ln (c vertical bar vertical bar vertical bar u(T)vertical bar vertical bar B-infinity infinity r) dT < infinity
for some 0 < r < 1, then the solution is actually smooth on (0, T).

• 出版日期2016
• 单位赣南师范大学