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Talk

Convergence of the Allen-Cahn equation to multi-phase mean-curvature flow

  • Tim Laux (MPI MiS, Leipzig)
A3 01 (Sophus-Lie room)

Abstract

We present a convergence result for solutions of the vector-valued Allen-Cahn equation. In the spirit of the work of Luckhaus and Sturzenhecker we establish convergence towards a distributional formulation of multi-phase mean-curvature flow using sets of finite perimeter. Like their result, ours relies on the assumption that the time-integrated energies of the approximations converge to those of the limit.

This is joint work with Thilo Simon (MPI MIS).

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  • Monday, 14.07.25 tba with Alexandra Holzinger
  • Tuesday, 15.07.25 tba with Anna Shalova
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