# Homogenization of fronts in highly heterogeneous media

Abstract : 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 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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Cited literature [21 references]

https://hal.archives-ouvertes.fr/hal-00494583
Contributor : Guy Barles <>
Submitted on : Wednesday, June 23, 2010 - 3:54:33 PM
Last modification on : Friday, October 25, 2019 - 12:18:28 PM
Document(s) archivé(s) le : Friday, September 24, 2010 - 5:32:10 PM

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meanzerotours.pdf
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• HAL Id : hal-00494583, version 1

### Citation

Guy Barles, Annalisa Cesaroni, Matteo Novaga. Homogenization of fronts in highly heterogeneous media. SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2011, 43 (1), pp.212--227. ⟨hal-00494583⟩

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