Homogenization of Fronts in Highly Heterogeneous Media

Guy Barles, Annalisa Cesaroni, Matteo Novaga · SIAM Journal on Mathematical Analysis · 2011

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

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