34 citations · 36 across the 7 of their papers we have counts for
4 papers · 1 filter
A new varifold solution concept for mean curvature flow: Convergence of the Allen-Cahn equation and weak-strong uniqueness
Sebastian Hensel, Tim Laux
We propose a new weak solution concept for (two-phase) mean curvature flow which enjoys both (unconditional) existence and (weak-strong) uniqueness properties. These solutions are…
Weak-strong uniqueness for the mean curvature flow of double bubbles
Sebastian Hensel, Tim Laux
We derive a weak-strong uniqueness principle for BV solutions to multiphase mean curvature flow of triple line clusters in three dimensions. Our proof is based on the explicit cons…
Corrector estimates for higher-order linearizations in stochastic homogenization of nonlinear uniformly elliptic equations
Sebastian Hensel
Corrector estimates constitute a key ingredient in the derivation of optimal convergence rates via two-scale expansion techniques in homogenization theory of random uniformly ellip…
Weak-strong uniqueness for the Navier-Stokes equation for two fluids with surface tension
Julian Fischer, Sebastian Hensel
In the present work, we consider the evolution of two fluids separated by a sharp interface in the presence of surface tension - like, for example, the evolution of oil bubbles in…