In this note we derive MHD boundary layer equations according to viscosity and resistivity coefficients. Especially, when these viscosity and resistivity coefficients are of different orders, it leads to degenerate MH...In this note we derive MHD boundary layer equations according to viscosity and resistivity coefficients. Especially, when these viscosity and resistivity coefficients are of different orders, it leads to degenerate MHD boundary layer equations. We prove these degenerate boundary layers are stable around a steady solution.展开更多
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...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.展开更多
文摘In this note we derive MHD boundary layer equations according to viscosity and resistivity coefficients. Especially, when these viscosity and resistivity coefficients are of different orders, it leads to degenerate MHD boundary layer equations. We prove these degenerate boundary layers are stable around a steady solution.
基金Supported by NSFC(Grant Nos.11301048,11671067)the Fundamental Research Funds for the Central Universitiesthe Institute of Mathematical Sciences of CUHK
文摘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.
