On the regularity of weak solutions to the magnetohydrodynamic equations |
| |
| Authors: | Cheng He Zhouping Xin |
| |
| Institution: | a Institute of Applied Mathematics, Academy of Mathematics and System Science, Chinese Academy of Sciences, Beijing 100080, People's Republic of China
b The Institute of Mathematical Sciences and Department of Mathematics, The Chinese University of Hong Kong, Shatin, N. T., Hong Kong |
| |
| Abstract: | In this paper, we study the regularity of weak solution to the incompressible magnetohydrodynamic equations. We obtain some sufficient conditions for regularity of weak solutions to the magnetohydrodynamic equations, which is similar to that of incompressible Navier-Stokes equations. Moreover, our results demonstrate that the velocity field of the fluid plays a more dominant role than the magnetic field does on the regularity of solution to the magneto-hydrodynamic equations. |
| |
| Keywords: | 35Q 76D |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
