Abstract
We prove a convexity property of the surface tension corresponding to a non-local, anisotropic free-energy functional of van der Waals type which implies that the Wulff shape is strictly convex and smooth. We also prove that the transport coefficients of the limiting anisotropic motion by mean curvature obtained in [33] are strictly positive and equal to the stiffness parameters determined by the surface tension.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
Author information
Authors and Affiliations
Additional information
Accepted January 29, 2001¶Published online June 28, 2001
Rights and permissions
About this article
Cite this article
Bellettini, G., Buttà, P. & Presutti, E. Sharp Interface Limits for Non-Local Anisotropic Interactions. Arch. Rational Mech. Anal. 159, 109–135 (2001). https://doi.org/10.1007/s002050100149
Issue Date:
DOI: https://doi.org/10.1007/s002050100149