\begin{thebibliography}{10}

\bibitem{TaylorCahn94A}
J.E. Taylor and J.W. Cahn.
\newblock Surface motion by surface diffusion.
\newblock {\em Acta Met.}, 42:1045--63, 1994.

\bibitem{TaylorCahn94B}
J.E. Taylor and J.W. Cahn.
\newblock Linking anisotropic sharp and diffuse surface motion laws via
  gradient flows.
\newblock {\em J. Stat. Phys.}, 77:183--97, 1994.

\bibitem{Suo97}
Z.~Suo.
\newblock Motions of microscopic surfaces in materials.
\newblock {\em Advances in Appl. Mechs.}, 33:193--294, 1997.

\bibitem{hub_paper}
J.W. Cahn and W.C. Carter.
\newblock Crystal shapes and phase equilibria: A common mathematical basis.
\newblock {\em Met. Trans.}, 27A:1431--1440, 1996.

\bibitem{Gelfand}
I.M. Gelfand and S.V. Fomin.
\newblock {\em Calculus of Variations}.
\newblock Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1963.

\bibitem{wmc}
J.E. Taylor.
\newblock Mean curvature and weighted mean curvature, overview 98(ii).
\newblock {\em Acta Met.}, 40(7):1475--1485, 1992.

\bibitem{Herring51b}
Conyers Herring.
\newblock Some theorems on the free energies of crystal surfaces.
\newblock {\em Phys. Rev.}, 82(1):87--93, 1951.

\bibitem{CahnHoff}
J.~W. Cahn and D.~W. Hoffman.
\newblock A vector thermodynamics for anisotropic surfaces. ii. curved and
  facetted surfaces.
\newblock {\em Acta Met.}, 22:1205--1214, 1974.

\bibitem{HoffCahn}
David~W. Hoffman and John~W. Cahn.
\newblock A vector thermodynamics for anisotropic surfaces. i. fundamentals and
  applications to plane surface junctions.
\newblock {\em Surface Science}, 31:368--388, 1972.

\bibitem{mullins}
W.~W. Mullins.
\newblock Solid surface morphologies governed by capillarity.
\newblock In {\em Metal Surfaces: Structure, Energetics and Kinetics}, pages
  17--66. American Society for Metals, 1962.

\bibitem{Gibbs1}
J.~Willard Gibbs.
\newblock On the equilibrium of heterogeneous substances (1876).
\newblock In {\em Collected Works}, volume~1. Longmans, Green, and Co., 1928.

\bibitem{AlmgrenTaylorWang}
F.J. Almgren, J.E. Taylor, and L.~Wang.
\newblock Curvature driven flows: A variational approach.
\newblock {\em SIAM Journal of Control and Optimization}, 31:386--437, 1993.

\bibitem{Caraballo97}
D.~Caraballo.
\newblock {\em A Variational Scheme for the Evolution of Polycrystals by
  Curvature}.
\newblock PhD thesis, Department of Mathematics, Princeton University, 1997.

\bibitem{AlmgrenTaylor95}
F.J. Almgren and J.E. Taylor.
\newblock Curvature driven flows: A variational approach.
\newblock {\em SIAM Journal of Control and Optimization}, 31:386--437, 1993.

\bibitem{Carter95}
W.C. Carter, A.R. Roosen, J.W. Cahn, and J.E. Taylor.
\newblock Shape evolution by surface diffusion and surface attachment limited
  kinetics on completely facetted surfaces.
\newblock {\em Acta Met.}, 43:4309--23, 1995.

\end{thebibliography}