Mean curvature flow with obstacles

DOI10.1016/j.anihpc.2012.03.002zbMath1252.49072arXiv1111.5141OpenAlexW3103165135MaRDI QIDQ713195

D. Kharzeev

Publication date: 26 October 2012

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.5141

zbMATH Keywords

mean curvature flowobstacle problemminimizing movements

Mathematics Subject Classification ID

Variational inequalities (49J40) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Partial differential inequalities and systems of partial differential inequalities (35R45) Variational problems in a geometric measure-theoretic setting (49Q20) Moving boundary problems for PDEs (35R37)

Related Items (8)

Projection Method for Droplet Dynamics on Groove-Textured Surface with Merging and Splitting ⋮ Anisotropic and crystalline mean curvature flow of mean-convex sets ⋮ Motion of sets by curvature and derivative of capacity potential ⋮ Gradient flow formulation and second order numerical method for motion by mean curvature and contact line dynamics on rough surface ⋮ An obstacle problem arising in large exponent limit of power mean curvature flow equation ⋮ Existence and uniqueness for anisotropic and crystalline mean curvature flows ⋮ On Obstacle Problem for Brakke's Mean Curvature Flow ⋮ Existence and Uniqueness for a Crystalline Mean Curvature Flow

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Modeling actin cable contraction
• Crystalline mean curvature flow of convex sets
• Implicit time discretization of the mean curvature flow with a discontinuous forcing term
• A discussion about the homogenization of moving interfaces
• The obstacle problem revisited
• Implicit time discretization for the mean curvature flow equation
• Remarks on the Dirichlet and state-constraint problems for quasilinear parabolic equations.
• Effective motion of a curvature-sensitive interface through a heterogeneous medium
• An algorithm for mean curvature motion
• Anisotropic curvature-driven flow of convex sets
• A mathematical model for dorsal closure
• Homogenization of Fronts in Highly Heterogeneous Media
• Pulsating wave for mean curvature flow in inhomogeneous medium
• A deterministic-control-based approach to fully nonlinear parabolic and elliptic equations
• User’s guide to viscosity solutions of second order partial differential equations
• COMPARISON RESULTS FOR QUASILINEAR EQUATIONS IN ANNULAR DOMAINS AND APPLICATIONS1*
• Curvature-Driven Flows: A Variational Approach

This page was built for publication: Mean curvature flow with obstacles