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most citedThe Asymptotics of the Area-Preserving Mean Curvature and the Mullins-Sekerka Flow in Two Dimensions

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math.DG2021★ 1 cited

The Asymptotics of the Area-Preserving Mean Curvature and the Mullins-Sekerka Flow in Two Dimensions

Vesa Julin, Massimiliano Morini, Marcello Ponsiglione +1

We provide the first general result for the asymptotics of the area preserving mean curvature flow in two dimensions showing that flat flow solutions, starting from any bounded set…

math.DG2021

Total positive curvature and the equality case in the relative isoperimetric inequality outside convex domains

Nicola Fusco, Massimiliano Morini

We settle the case of equality for the relative isoperimetric inequality outside any arbitrary convex set with not empty interior.