Wriggled Lamellar Solutions and Their Stability in the Diblock Copolymer Problem

DOI10.1137/S0036141003433589zbMath1136.35372OpenAlexW2151733572MaRDI QIDQ5470566

Xiaofeng Ren, Wei, Juncheng

Publication date: 31 May 2006

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036141003433589

zbMATH Keywords

stabilitysingular perturbationbifurcationdistortiondiblock copolymerperfect lamellar solutionwriggled lamellar solution

Mathematics Subject Classification ID

Related Items (23)

Droplet solutions in the diblock copolymer problem with skewed monomer composition ⋮ On De Giorgi's conjecture: recent progress and open problems ⋮ Partial localization, lipid bilayers, and the elastica functional ⋮ Equilibrium Configurations of Boundary Droplets in a Self-Organizing Inhibitory System ⋮ On global minimizers for a variational problem with long-range interactions ⋮ Periodic patterns for a model involving short-range and long-range interactions ⋮ Minimality via second variation for microphase separation of diblock copolymer melts ⋮ Minimality via second variation for a nonlocal isoperimetric problem ⋮ Global existence and stability for the modified Mullins-Sekerka and surface diffusion flow ⋮ The soliton-stripe pattern in the Seul--Andelman membrane ⋮ MANY DROPLET PATTERN IN THE CYLINDRICAL PHASE OF DIBLOCK COPOLYMER MORPHOLOGY ⋮ The pattern of multiple rings from morphogenesis in development ⋮ Numerical investigations of pattern formation in binary systems with inhibitory long-range interaction ⋮ Schwarz P surfaces and a non local perturbation of the perimeter ⋮ Lamellar phase solutions for diblock copolymers with nonlocal diffusions ⋮ Striped periodic minimizers of a two-dimensional model for martensitic phase transitions ⋮ Single droplet pattern in the cylindrical phase of diblock copolymer morphology ⋮ Copolymer-homopolymer blends: global energy minimisation and global energy bounds ⋮ On periodic critical points and local minimizers of the Ohta-Kawasaki functional ⋮ STRIPE PATTERNS IN A MODEL FOR BLOCK COPOLYMERS ⋮ On the first and second variations of a nonlocal isoperimetric problem ⋮ Uniform energy distribution for an isoperimetric problem with long-range interactions ⋮ Ring pattern solutions of a free boundary problem in diblock copolymer morphology

This page was built for publication: Wriggled Lamellar Solutions and Their Stability in the Diblock Copolymer Problem