Volume preserving mean curvature flow for star-shaped sets

DOI10.1007/s00526-020-01738-0zbMath1445.35205arXiv1808.04922OpenAlexW3016175936MaRDI QIDQ2173538

Dohyun Kwon, Inwon Christina Kim

Publication date: 16 April 2020

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.04922

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Viscosity solutions to PDEs (35D40) Quasilinear parabolic equations with mean curvature operator (35K93) Flows related to mean curvature (53E10)

Related Items

Long time behavior of discrete volume preserving mean curvature flows, Optimal control of volume-preserving mean curvature flow, On volume-preserving crystalline mean curvature flow, Motion by crystalline-like mean curvature: A survey, The existence of a weak solution to volume preserving mean curvature flow in higher dimensions, Star-shaped centrosymmetric curves under Gage's area-preserving flow, The asymptotics of the area-preserving mean curvature and the Mullins-Sekerka flow in two dimensions, Weak-strong uniqueness for volume-preserving mean curvature flow, Snapshots of non-local constrained mean curvature-type flows, Nonlocal estimates for the volume preserving mean curvature flow and applications, Long time behaviour of the discrete volume preserving mean curvature flow in the flat torus, Quantitative Alexandrov theorem and asymptotic behavior of the volume preserving mean curvature flow, Consistency of the flat flow solution to the volume preserving mean curvature flow, Level-set forced mean curvature flow with the Neumann boundary condition

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