Crystalline surface evolving by mean curvature under a cubic anisotropy.
The Wulff shape describing the anisotropy is the cube of side 2 centered
at the origin.
- Initial surface, rendered using
PovRay.
- Exact solution at times 0.011,
0.014, 0.0155 (actually obtained by solving a system of ODEs
obtained using the crystalline evolution law of J. Taylor).
Rendered using PovRay.
- Approximate solution at times 0.011,
0.014, 0.017, obtained by using the Allen-Cahn approximation.
Rendered using Geomview.