Motion by crystalline-like mean curvature: A survey | Bulletin of Mathematical Sciences World
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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 of finite …

We consider the flat flow solution, obtained via a discrete minimizing movement scheme, to
the volume preserving mean curvature flow starting from C 1, 1-regular set. We prove the …

In this note, we derive a stability and weak-strong uniqueness principle for volume-
preserving mean curvature flow. The proof is based on a new notion of volume-preserving …

We prove that the dynamics of the MBO scheme for data clustering converge to a viscosity
solution to mean curvature flow. The main ingredients are (i) a new abstract convergence …

We study the asymptotic behavior of the volume preserving mean curvature and the Mullins-
Sekerka flat flow in three dimensional space. Motivated by this we establish a 3D sharp …

Long time behavior of discrete volume preserving mean curvature flows Skip to content Should
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Here, we study a level-set forced mean curvature flow with the homogeneous Neumann
boundary condition. We first show that the solution is Lipschitz in time and locally Lipschitz in …

In this paper, we construct a family of integral varifolds, which is a global weak solution to the
volume preserving mean curvature flow in the sense of L 2-flow. This flow is also a …

We show that the discrete approximate volume preserving mean curvature flow in the flat
torus TN starting near a strictly stable critical set E of the perimeter converges in the long …