“…As a result, after the phase field model is obtained, one of important and natural issue is to investigate whether the diffuse interface model can be related to the corresponding sharp interface model when the interfacial width tends to zero. The sharp interface limits of some different diffusion interface models can be found in [4,20,21,31,16,24,17,5] for instance. Nevertheless, up to our knowledge, there seems to exist no corresponding rigorous results on sharp interface limits of diffuse interface methhod for two-phase incompressible inductionless MHD equations.…”