3维非齐次不可压MHD方程组在Slip边界条件下的无粘非退化极限问题

In this paper, we investigate the inviscid and non-resistive limitof the 3D nonhomogeneous incompressible magnetohydrodynamic (MHD) equationswith a slip boundary condition.We give a particular emphasis to the resultsin a class of bounded smooth domain with flat boundary.The additional boundary condition for the density$ abla hocdot n=0$plays a very important role in the proof of the well-posednessand the inviscid and non-resistive limit.We obtain the estimates on the rate of convergence in $C([0,T],H^2(Omega))$.Furthermore, it is difficult and challengingto make the corresponding convergence results in a general bounded smooth regionby our approaches.