三维非齐次不可压MHD方程组在Slip边界条件下的无粘无电阻极限

摘要

在一般光滑有界区域下,研究了三维非齐次不可压MHD方程组在slip边界条件下的无粘无电阻极限问题,并且得到了在C([0,T],H2(Ω))意义下强收敛结果.%In this paper,we investigate the inviscid and non-resistive limit of the 3D nonhomogeneous incompressible magnetohydrodynamic (MHD) equations in a class of bounded smooth domain with a slip boundary condition.We obtain the estimates on the rate of convergence in C([0,T], H2(Ω)).