Stability of stationary interfaces of binary-tree type

DOI10.1007/s00526-004-0281-xzbMath1109.35016OpenAlexW2046266721MaRDI QIDQ1773090

Ryo Ikota, Eiji Yanagida

Publication date: 25 April 2005

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

Full work available at URL: http://hdl.handle.net/2324/11830

zbMATH Keywords

interfacecurvature-driven motioncontact with the boundary

Mathematics Subject Classification ID

Related Items (9)

The blow up method for brakke flows: networks near triple junctions ⋮ Bifurcations of stationary solutions with triple junctions in phase separation problems -- a new view of bifurcation analysis ⋮ On the mean curvature flow of grain boundaries ⋮ Duality theorem for a three-phase partition problem ⋮ Stability criteria for multiphase partitioning problems with volume constraints ⋮ Stability of basic steady states of networks in bounded domains ⋮ Entire solutions to equivariant elliptic systems with variational structure ⋮ The existence problem for Steiner networks in strictly convex domains ⋮ Stability of bounded dynamical networks with symmetry

Cites Work

• The heat equation shrinks embedded plane curves to round points
• Segregating partition problem in competition-diffusion systems
• On three-phase boundary motion and the singular limit of a vector-valued Ginzburg-Landau equation
• A stability criterion for stationary curves to the curvature-driven motion with a triple junction.
• Instability of stationary solutions for equations of curvature-driven motion of curves
• Local minimisers of a three-phase partition problem with triple junctions
• Stability of Stationary Interfaces with Contact Angle in a Generalized Mean Curvature Flow
• A singular limit for a system of degenerate Cahn-Hilliard equations
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