Mullins-Sekerka as the Wasserstein flow of the perimeter
نویسندگان
چکیده
We prove the convergence of an implicit time discretization for one-phase Mullins-Sekerka equation, possibly with additional non-local repulsion, proposed in [F. Otto, Arch. Rational Mech. Anal. 141 (1998), pp. 63â??103]. Our simple argument shows that limit satisfies equation a distributional sense as well optimal energy-dissipation relation. The proof combines arguments from transport, gradient flows & minimizing movements, and basic geometric measure theory.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2021
ISSN: ['2330-1511']
DOI: https://doi.org/10.1090/proc/15401