Periodic minimizers of a ternary non-local isoperimetric problem

DOI10.1512/iumj.2021.70.8720zbMath1484.35170arXiv1912.08971OpenAlexW2995358261MaRDI QIDQ5025426

No author found.

Publication date: 2 February 2022

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.08971

zbMATH Keywords

energy functionalminimizerstriblock copolymer

Mathematics Subject Classification ID

Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Variational methods for second-order elliptic equations (35J20)

Related Items (4)

Uniform bound on the number of partitions for optimal configurations of the Ohta–Kawasaki energy in 3D ⋮ On a quaternary nonlocal isoperimetric problem ⋮ Core Shells and Double Bubbles in a Weighted Nonlocal Isoperimetric Problem ⋮ Convergence of the TFDW Energy to the Liquid Drop Model

Cites Work

• Unnamed Item
• Unnamed Item
• Ground states of a ternary system including attractive and repulsive Coulomb-type interactions
• Sharp interface limit of an energy modelling nanoparticle-polymer blends
• Minimality via second variation for a nonlocal isoperimetric problem
• A stationary core-shell assembly in a ternary inhibitory system
• Remark on a nonlocal isoperimetric problem
• On the global minimizers of a nonlocal isoperimetric problem in two dimensions
• On periodic critical points and local minimizers of the Ohta-Kawasaki functional
• The standard double soap bubble in \(\mathbb{R}^ 2\) uniquely minimizes perimeter
• Coarsening and self-organization in dilute diblock copolymer melts and mixtures
• The concentration-compactness principle in the calculus of variations. The limit case. I
• Some mathematical aspects of the micro-phase separation in diblock copolymers
• Evolution in off-critical diblock copolymer melts
• Triblock copolymer theory: ordered ABC lamellar phase
• Double bubbles minimize
• Proof of the double bubble conjecture
• Periodic patterns for a model involving short-range and long-range interactions
• Triblock copolymer theory: free energy, disordered phase and weak segregation
• A double bubble in a ternary system with inhibitory long range interaction
• Isoperimetry and stability properties of balls with respect to nonlocal energies
• Anisotropic liquid drop models
• A double bubble assembly as a new phase of a ternary inhibitory system
• Nonlinear stability results for the modified Mullins-Sekerka and the surface diffusion flow
• Droplet phase in a nonlocal isoperimetric problem under confinement
• Minimality via second variation for microphase separation of diblock copolymer melts
• The \(\varGamma\)-limit of the two-dimensional Ohta-Kawasaki energy. I: Droplet density
• Droplet Minimizers of an Isoperimetric Problem with Long-Range Interactions
• Sets of Finite Perimeter and Geometric Variational Problems
• Local and Global Minimality Results for a Nonlocal Isoperimetric Problem on $\mathbb{R}^N$
• Uniform energy distribution for an isoperimetric problem with long-range interactions
• Oval Shaped Droplet Solutions in the Saturation Process of Some Pattern Formation Problems
• On the Multiplicity of Solutions of Two Nonlocal Variational Problems
• Evolution and Competition of Block Copolymer Nanoparticles
• Isoperimetric problem with a coulomb repulsive term
• Stationary disk assemblies in a ternary system with long range interaction
• Droplet breakup in the liquid drop model with background potential
• Small Volume Fraction Limit of the Diblock Copolymer Problem: I. Sharp-Interface Functional
• On the first and second variations of a nonlocal isoperimetric problem
• Singular Limit Problem for Some Elliptic Systems
• Droplet phases in non-local Ginzburg-Landau models with Coulomb repulsion in two dimensions

This page was built for publication: Periodic minimizers of a ternary non-local isoperimetric problem