New ideas in Calculus of Variations and Geometric Measure Theory

Chapters in this book

1. I-IV I
2. Introduction V
3. Table of Contents VII
4. A phase-field model with a double obstacle potential 1
5. Cahn and Hilliard fluid on an oscillating boundary 23
6. Mathematical models of phase boundaries in alloys: Phase field and Sharp interface 43
7. New ideas in Calculus of Variations and Geometric Measure Theory 63
8. The minimum time problem and its applications to front propagation 70
9. Planar motion of an anisotropic interface 89
10. Singular limit for an Allen-Cahn equation with a nonlocal term 98
11. Axiomatization of shape analysis and application to texture hyperdiscrimination 110
12. Variational approximation of the geometric motion of fronts 124
13. On radial growth in crystallization theories of hyperbolic nature 150
14. Physics and Geometry of Flow under Curvature: Singularity Formation, Minimal Surfaces, Geodesies, and Surface Tension 168
15. Computing hypersurfaces which minimize surface energy plus bulk energy 186
16. Boundary regularity for flows of nonparametric surfaces driven by mean curvature 198
17. Some questions of De Giorgi about mean curvature flow of triply-periodic surfaces 210
18. List of Contributors 215
19. List of Participants 217