4 papers
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…
On the avoidance principle for codimension 1 space-time Brakke flows
Abdelmouksit Sagueni
We prove that the spacetime Brakke flow constructed by Buet et al. is non-trivial as long as the initial varifold is a union of boundaries of domains of finite perimeter. In the co…
Integral Brakke approximate equality for an approximate mean curvature flow
Abdelmouksit Sagueni
In this paper we aim to study the consistency of the mean curvature flow via discretization. We will use discretizations by volumetric varifolds, and derive a Brakke approximate eq…
Approximations of the mean curvature, and the Buet-Rumpf approximate mean curvature flow
Abdelmouksit Sagueni
The aim of this paper is to generalize the work of B. Buet and M. Rumpf on some definition of the approximate mean curvature vector for varifolds, and its associated mean curvature…