3 papers
math.AP2026
The quantitative isoperimetric inequality: A calibration argument
Sebastian Hensel, Tim Laux
We give a short proof of the quantitative isoperimetric inequality. Our argument is based on a notion of quantitative calibrations which induce a natural distance controlling both…
math.AP2024
Stability of multiphase mean curvature flow beyond circular topology changes
Julian Fischer, Sebastian Hensel, Alice Marveggio +1
We prove a weak-strong uniqueness principle for varifold-BV solutions to planar multiphase mean curvature flow beyond a circular topology change: Assuming that there exists a class…
math.AP2024
A weak-strong uniqueness principle for the Mullins-Sekerka equation
Julian Fischer, Sebastian Hensel, Tim Laux +1
We establish a weak-strong uniqueness principle for the two-phase Mullins-Sekerka equation in ambient dimension and : As long as a classical solution to the evolution pr…