摘要
In this paper, we prove that suitable weak solution （u,b） of tne 3-D MHD equations can be extended beyond T if u E L∞（0,T; La（R3）） and the horizontal components bh of the magnetic field satisfies the well-known Ladyzhenskaya-Prodi-Serrin condition, which improves the corresponding regularity criterion by Mahalov-Nicolaenko-Shilkin.
Abstract In this paper, we prove that suitable weak solution （u,b） of tne 3-D MHD equations can be extended beyond T if u E L∞（0,T; La（R3）） and the horizontal components bh of the magnetic field satisfies the well-known Ladyzhenskaya-Prodi-Serrin condition, which improves the corresponding regularity criterion by Mahalov-Nicolaenko-Shilkin.
基金
Supported by NSFC(Grant Nos.11301048,11671067)
the Fundamental Research Funds for the Central Universities
the Institute of Mathematical Sciences of CUHK
