An improved regularity criterion of three-dimensional magnetohydrodynamic equations

作者：Dong Bo Qing; Jia Yan^*; Zhang Wenliang

来源：Nonlinear Analysis: Real World Applications , 2012, 13(3): 1159-1169.

DOI：10.1016/j.nonrwa.2011.09.010

• MHD equations
• Regularity criterion
• Besov space

An improved regularity criterion for a weak solution of three-dimensional magnetohydrodynamic equations is obtained. Employing the Fourier localization technique, it is proved that weak solutions become regular on (0, T] if the summation of velocity field u and magnetic field b belong to the largest critical spaces: u + b is an element of L2/1+r (0, T; B-infinity,infinity(r).0.(R-3)), -1 < r <= 1. This obviously extends the previous results.

• 出版日期2012-6
• 单位安徽大学