Some of my papers

• Flat flow is motion by crystalline curvature for curves with crystalline energies (with Fred Almgren), J. Diff. Geom. 42 (1995), 1-22.
• Book Review of Wulff Construction, A Global Shape from Local Interaction, Bull Amer. Math. Soc. 31 (1994), 291-296.
• Linking Anisotropic Sharp and Diffuse Surface Motion Laws via Gradient Flows (with John Cahn), J. Stat. Phys. 77 (Oct. 1994), 183-197.
• The motion of multiple-phase junctions under prescribed phase-boundary velocites, J. Diff. Eq. 119 (1995), 109-136.
• Shape evolution by surface diffusion and surface attachment limited kinetics on completely faceted surfaces (with W. C. Carter, A. R. Roosen, and J. W. Cahn), Acta Metal. Mater. 43 (1995), 4309-4323.
• Surface Motion Due to Crystalline Surface Energy Gradient Flows, in Elliptic and Parabolic Methods, A. K. Peters, Wellesley, 1996, 145-162.
• Surface Motion Due to Surface Energy Reduction, Notices of the AMS 42 (1995), 38-40.
• Optimal Geometry in Equilibrium and Growth (with Fred Almgren), Fractals 3 (1996), 713-723. Also appeared in Fractal Geometry and Analysis: The Mandelbrot Festschrift, Curacao 1995.
• Anisotropic Interface Motion, in Mathematics of Microstructure Evolution, Edited by Long-Qing Chen et al, TMS/SIAM, Warrendale, PA, EMPMD Monograph Series 4 (1996), 135-148.
• Thermodynamic driving forces and equilibrium in multicomponent systems with anisotropic surfaces (with John Cahn), in Mathematics of Microstructure Evolution, Edited by Long-Qing Chen et al., TMS/SIAM, Warrendale, PA, EMPMD Monograph Series 4 (1996), 149-159.
• Soap Bubble Clusters (with Fred Almgren), Forma 11, No. 3 (1996), 199-207, and reprinted in book form in The Kelvin Problem, Denis Weare, ed.,Taylor and Francis Ltd., London, 1996, 37-45.
• AAAS talk on Implementing the Platform for Action.
• Diffuse Interfaces with Sharp Corners and Facets: Phase Field Modeling of Strongly Anisotropic Surfaces (with John Cahn), Physica D 112 (1998), 381-411.
• Thermodynamic Driving Forces and Anisotropic Inteface Motion, JOM {\bf 48}, No.12 (1996), 19-22. (JOM is the monthly publication for members of TMS, The Minerals, Metals \& Materials Society.)
• Variational Methods for Microstructural Evolution (with W. Craig Carter and John W. Cahn), JOM {\bf 49} no. 12 (1998), 30-36.
• Diffuse Interfaces with Sharp Corners and Facets: Phase Field Modeling of Strongly Anisotropic Surfaces (with John W. Cahn), Physica D {\bf 112} (1998), 381-411.
• Motion by Weighted Mean Curvature is Affine Invariant, Journal of Geometric Analysis 8 (1998), 859-864.
• A variational approach to crystalline triple junction motion, J. Stat. Phys. 95 (1999), 1221-1244.
• Mathematical Models of Triple Junctions, Interface Science 7 (1999) 243-249.
• A unified approach to motion of grain boundaries, relative tangential translation along grain boundaries, and grain rotation, Acta Mater. 52 (2004) 4887-4898.
• ,Shape Accommodation of a Rotating Embedded Crystal Via a New Variational Formulation Interfaces and Free Boundaries 9 (2007), 493-512.
• Gradient flows, dissipation, and variational principles, submitted (available on request).

Most of these papers were developed with partial support by the National Science Foundation, most recently under grant number 9626147. Any opinions, findings and conclusions or recomendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation (NSF).