Vanishing Viscosity Limit For The3D MHD Equations With Slip Boundary Conditions

In this paper, we study vanishing viscosity limits of solutions to the3-dimensional incompressible MHD system in smooth bounded domains with slipboundary. Since there are some diferent between curve boundary conditions andfat boundary conditions, contrast to the fat boundary conditions, we restrict theinitial vorticity to be zero, it can prove an extra boundary condition that the vor-ticity of the ideal MHD equations keep invariant with the time evolution. Thenwe obtain the strong convergence of solutions of MHD equations, it solves theproblem of vanishing viscosity limits of MHD system and obtain a convergenceresult with slip boundary condition.