Convergence of Allen-Cahn equations to De Giorgi's multiphase mean curvature flow

This paper presents a conditional convergence result of solutions to the Allen–Cahn equation with arbitrary potentials to a De Giorgi type $\mathrm{B}\mathrm{V}$-solution to multiphase mean curvature flow. Moreover we show that De Giorgi type $\mathrm{B}\mathrm{V}$-solutions are De Giorgi type varifold solutions, and thus our solution is unique in a weak-strong sense.