Homogenization of fronts in highly heterogeneous media. (English) Zbl 1228.35026
The paper discusses the evolution by mean curvature modeled by means of a periodic forcing term (mimicking the role of the heterogeneity), with large \(L^\infty\)-norm and zero average. The authors prove the homogenization limit and derive the structure and some of the properties of the effective velocity.
Reviewer: Adrian Muntean (Eindhoven)
MSC:
| 35B27 | Homogenization in context of PDEs; PDEs in media with periodic structure |
| 53C44 | Geometric evolution equations (mean curvature flow, Ricci flow, etc.) (MSC2010) |
| 49L25 | Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games |
| 35D40 | Viscosity solutions to PDEs |
| 35K59 | Quasilinear parabolic equations |
