We discuss the nonlocal-to-local convergence of strong solutions to a Navier-Stokes-Cahn-Hilliard model (Model H) with singular potential describing immiscible, viscous two-phase flows with matched densities. This means that we show that the strong solutions of the nonlocal Model H converge to the corresponding strong solution of the local Model H as the weight function in the nonlocal interaction kernel approaches the delta distribution. Compared to previous results in the literature, our main novelty is to further establish concrete rates for this nonlocal-to-local convergence.
