Implicit time discretization for the mean curvature flow of mean convex sets

DOI10.2422/2036-2145.201810_003zbMath1471.53073arXiv1806.02716OpenAlexW2963074890MaRDI QIDQ5003272

Guido De Philippis, Tim Laux

Publication date: 21 July 2021

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.02716

zbMATH Keywords

viscosity solutionarrival timeAlmgren-Taylor-Wang scheme

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Variational problems in a geometric measure-theoretic setting (49Q20) Flows related to mean curvature (53E10)

Related Items (6)

\(K\)-mean convex and \(K\)-outward minimizing sets ⋮ Anisotropic and crystalline mean curvature flow of mean-convex sets ⋮ Strong convergence of the thresholding scheme for the mean curvature flow of mean convex sets ⋮ Consistency of the flat flow solution to the volume preserving mean curvature flow ⋮ De Giorgi's inequality for the thresholding scheme with arbitrary mobilities and surface tensions ⋮ Mullins-Sekerka as the Wasserstein flow of the perimeter

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