2 papers
math.AP2025
Parabolic free boundary phase transition and mean curvature flow
Jingeon An-Lacroix, Kiichi Tashiro
The parabolic Allen--Cahn equation can be considered as a "diffuse" mean curvature flow. In this work, we consider the parabolic free boundary Allen--Cahn equation $\partial_t u=Δu…
math.AP2025
Varifold convergence of free boundary Allen--Cahn equation
Jingeon An-Lacroix, Kiichi Tashiro
The free boundary Allen--Cahn equation in , on has recently attracted considerable attention because it retains the…