Homogenization of Fronts in Highly Heterogeneous Media

@article{Barles2011HomogenizationOF,
  title={Homogenization of Fronts in Highly Heterogeneous Media},
  author={Guy Barles and Annalisa Cesaroni and Matteo Novaga},
  journal={SIAM J. Math. Analysis},
  year={2011},
  volume={43},
  pages={212-227}
}
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. Key-words : Homogenization, propagation of fronts, heterogeneous media, evolution by mean curvature, viscosity solutions AMS subject classifications : 35B27, 35K55, 35J20, 53C44, 49L25 

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