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math.DG2025
Approximate mean curvature flows of a general varifold, and their limit spacetime Brakke flow
Blanche Buet, Gian Paolo Leonardi, Simon Masnou +1
We propose a construction of mean curvature flows by approximation for very general initial data, in the spirit of the works of Brakke and of Kim & Tonegawa based on the theory of…
math.DG2014
On the minimization of total mean curvature
Jeremy Dalphin, Antoine Henrot, Simon Masnou +1
In this paper we are interested in possible extensions of an inequality due to Minkowski: valid for any regular open set $Ω\subs…