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math.AP2022★ 1 cited
The sharp interface limit of a Navier--Stokes/Allen--Cahn system with constant mobility: Convergence rates by a relative energy approach
Sebastian Hensel, Yuning Liu
We investigate the sharp interface limit of a diffuse interface system that couples the Allen--Cahn equation with the instationary Navier--Stokes system in a bounded domain in $\ma…
math.AP2021★ 2 cited
BV solutions for mean curvature flow with constant contact angle: Allen-Cahn approximation and weak-strong uniqueness
Sebastian Hensel, Tim Laux
We study weak solutions to mean curvature flow satisfying Young's angle condition for general contact angles . First, we construct BV solutions using the Allen-Cahn app…