Stationary sets of the mean curvature flow with a forcing term

DOI10.1515/acv-2021-0019OpenAlexW3190356044WikidataQ109406402 ScholiaQ109406402MaRDI QIDQ2691829

Vesa Julin, Joonas Niinikoski

Publication date: 30 March 2023

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.13666

zbMATH Keywords

stationary setscritical setsforced mean curvature flow

Mathematics Subject Classification ID

Variational problems concerning minimal surfaces (problems in two independent variables) (58E12) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Quasilinear parabolic equations with mean curvature operator (35K93) Flows related to mean curvature (53E10)

Cites Work

• Unnamed Item
• Global solutions to the volume-preserving mean-curvature flow
• Motion of level sets by mean curvature. I
• Nonlocal curvature flows
• A short note on the evolution of a surface by its mean curvature
• Implicit time discretization for the mean curvature flow equation
• Stability of the Steiner symmetrization of convex sets
• Alexandrov's theorem revisited
• Sharp growth rate for generalized solutions evolving by mean curvature plus a forcing term
• Lecture Notes on Mean Curvature Flow, Barriers and Singular Perturbations
• Sets of Finite Perimeter and Geometric Variational Problems
• The Motion of a Surface by Its Mean Curvature. (MN-20)
• Curvature-Driven Flows: A Variational Approach
• Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations
• A stochastic selection principle in case of fattening for curvature flow