  We analyze the convergence rates to a planar interface in the Mullins-Sekerka
model by applying a relaxation method based on relationships among distance,
energy, and dissipation. The relaxation method was developed by two of the
authors in the context of the 1-d Cahn-Hilliard equation and the current work
represents an extension to a higher dimensional problem in which the curvature
of the interface plays an important role. The convergence rates obtained are
optimal given the assumptions on the initial data.
