@article{9039,
abstract = {We give a short and self-contained proof for rates of convergence of the Allen--Cahn equation towards mean curvature flow, assuming that a classical (smooth) solution to the latter exists and starting from well-prepared initial data. Our approach is based on a relative entropy technique. In particular, it does not require a stability analysis for the linearized Allen--Cahn operator. As our analysis also does not rely on the comparison principle, we expect it to be applicable to more complex equations and systems.},
author = {Fischer, Julian L and Laux, Tim and Simon, Theresa M.},
issn = {10957154},
journal = {SIAM Journal on Mathematical Analysis},
number = {6},
pages = {6222--6233},
publisher = {Society for Industrial and Applied Mathematics},
title = {{Convergence rates of the Allen-Cahn equation to mean curvature flow: A short proof based on relative entropies}},
doi = {10.1137/20M1322182},
volume = {52},
year = {2020},
}