Research profile

Nicola Fusco

Works on mean curvature flow.

NP-RC-4164890000-0001-8215-8351

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  1. Massimiliano Morini

    1 joint worklatest 2020

  2. Vesa Julin

    1 joint worklatest 2020

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2020

math.APWider flowsv2arXiv:2004.07734

Stationary sets and asymptotic behavior of the mean curvature flow with forcing in the plane

Nicola Fusco, Vesa Julin, Massimiliano Morini

We consider the flat flow solutions of the mean curvature equation with a forcing term in the plane. We prove that for every constant forcing term the stationary sets are given by a finite union of disks with equal radii and disjoint closures. On the other hand for every bounded forcing term tangent disks are never stationary. Finally in the case of an asymptotically constant forcing term we show that the only possible long time limit sets are given by disjoint unions of disks with equal radii and possibly tangent.

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