Jean E. Taylor

Curvature-driven flows: a variational approach

This paper introduces a new mathematical approach to the study of time evolutions of solids

Linking anisotropic sharp and diffuse surface motion laws via gradient flows

K(t)

Shape evolution by surface diffusion and surface attachment limited kinetics on completely faceted surfaces

in n-space whose boundaries move with velocity equal to the weighted mean curvature derived from the boundary surface energy

Diffuse interfaces with sharp corners and facets: phase field models with strongly anisotropic surfaces

\Phi (\partial K(t))

Quasicrystals: The View from Les Houches

. These “flat

The summertop construction: Crystals in a corner

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Catalog of saddle shaped surfaces in crystals

curvature flows” are limits of sequences of solutions to variational problems in which a sum of surface and bulk energy is minimized. The construction works equally well for smooth elliptic

Equilibrium shapes of crystals in a gravitational field: Crystals on a table

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Some Mathematical Challenges in Materials Science

’s, for nondifferentiable crystalline

Theory of orientation textures due to surface energy anisotropies

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