On the vanishing dissipation limit for the incompressible MHD equations on bounded domains

In this paper, we investigate the solvability, regularity and vanishing dissipation limit of solutions to three-dimensional viscous magnetohydrodynamic (MHD) equations in bounded domains. On boundary, velocity field fulfills a Navier-slip condition, while magnetic satisfies insulating condition. It is shown that initial boundary value problem has global weak solution for general smooth domain. More importantly, flat domain, establish uniform local well-posedness strong with higher-order asymptotic convergence rate ideal MHD equation as dissipations tend zero.