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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.

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
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