Equilibrium Configurations of Boundary Droplets in a Self-Organizing Inhibitory System

DOI10.1137/17M113856XzbMath1391.74016WikidataQ129970332 ScholiaQ129970332MaRDI QIDQ3176266

Jiajun Lu, Xiaofeng Ren, Frank E. Baginski

Publication date: 19 July 2018

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

optimizationfinite elementsconformal mappingpattern formationinhibitory system

Mathematics Subject Classification ID

Structured surfaces and interfaces, coexistent phases (74A50) Finite element methods applied to problems in solid mechanics (74S05) Statistical mechanics of polymers (82D60) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24) Free boundary problems for PDEs (35R35) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (1)

Numerical investigations of pattern formation in binary systems with inhibitory long-range interaction

Uses Software

• DistMesh

Cites Work

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• Oval Shaped Droplet Solutions in the Saturation Process of Some Pattern Formation Problems
• A Simple Mesh Generator in MATLAB
• Minimum-energy point charge configurations on a circular disk
• Wriggled Lamellar Solutions and Their Stability in the Diblock Copolymer Problem
• Periodicity and Uniqueness of Global Minimizers of an Energy Functional Containing a Long-Range Interaction
• Conformal Mapping of the Interior of an Ellipse onto a Circle

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