Homogenization of Fronts in Highly Heterogeneous Media

We consider the evolution by mean curvature in a highly heterogeneous medium, modeled by a periodic forcing term, with large L∞ -norm but with zero average. We prove existence of a homogenization limit, when the dimension of the periodicity cell tends to zero, and show some properties of the effective velocity.

• Type: Journal
• Year: 2011
• Where: SIAMMA
• Authors: Guy Barles, Annalisa Cesaroni, Matteo Novaga
• Keywords: Homogenization Limit, Mean Curvature, Periodic Forcing Term, SIAMMA 2011