Vanishing Viscosity Limit In L~p For The 3D MHD Equations With Slip Boundary Conditions

In this article, we study Lpvanishing viscosity limits of solutions to the3-dimensional incompressible MHD system in ?at bounded domains with slip boundary. We show that when the viscous coe?cient and magnetic ?eld di?usion coe?cient vanishing on the boundary, the solutions of MHD equations can converge to the corresponding ideal MHD equations’. In the article we concretely analyses the slip boundary conditions using the characteristics of boundary conditions are the energy estimation equation of Lpspace. At last, through the analysis of the di?erential method, we ?nally get the main result of this paper.