Abstract
We study the asymptotic analysis of a singularly perturbed weakly parabolic system of m equations of anisotropic reaction-diffusion type. Our main result formally shows that solutions to the system approximate a geometric motion of a hypersurface by anisotropic mean curvature. The anisotropy, supposed to be uniformly convex, is explicit and turns out to be the dual of the star-shaped combination of the m original anisotropies.
| Lingua originale | English |
|---|---|
| Titolo della pubblicazione ospite | Geometric Partial Differential Equations proceedings |
| Editor | A. Chambolle, MATTEO NOVAGA, E. Valdinoci |
| Pagine | 33-74 |
| Numero di pagine | 42 |
| Stato di pubblicazione | Pubblicato - 2013 |
Keywords
- anisotropy
- asymptotic analysis
- illposed problems
- mean curvature flow