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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.