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Long-time behavior of the mean curvature flow with periodic forcing

We consider the long-time behavior of the mean curvature flow in heterogeneous media with periodic fibrations, modeled as an additive driving force. Under appropriate assumptions on the forcing term, we show existence of generalized traveling waves with maximal speed of propagation, and we prove the convergence of solutions to the forced mean curvature flow to these generalized waves.

preprint2011arXivOpen access
Annalisa CesaroniMatteo Novaga
math.AP
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Open access2 authors1 topic
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Annalisa CesaroniMatteo Novaga

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