Existence and Stability of Spherically Layered Solutions of the Diblock Copolymer Equation

DOI10.1137/040618771zbMath1103.34046OpenAlexW2076343072MaRDI QIDQ5470302

Wei, Juncheng, Xiaofeng Ren

Publication date: 30 May 2006

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

Full work available at URL: https://doi.org/10.1137/040618771

zbMATH Keywords

bifurcationoptimal sizestability thresholdexistence thresholdOhta-Kawasaki diblock copolymer theorysphere patternspherical lamellar patternwriggled sphere patternwriggled spherical lamellar pattern

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Statistical mechanics of polymers (82D60) Partial differential equations of mathematical physics and other areas of application (35Q99) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (12)

Morse index of layered solutions to the heterogeneous Allen-Cahn equation ⋮ On global minimizers for a variational problem with long-range interactions ⋮ Computer-Assisted Proof of Heteroclinic Connections in the One-Dimensional Ohta--Kawasaki Model ⋮ Equilibrium validation for triblock copolymers via inverse norm bounds for fourth-order elliptic operators ⋮ MANY DROPLET PATTERN IN THE CYLINDRICAL PHASE OF DIBLOCK COPOLYMER MORPHOLOGY ⋮ The pattern of multiple rings from morphogenesis in development ⋮ A double bubble in a ternary system with inhibitory long range interaction ⋮ Single droplet pattern in the cylindrical phase of diblock copolymer morphology ⋮ Copolymer-homopolymer blends: global energy minimisation and global energy bounds ⋮ Convergence of phase-field approximations to the Gibbs-Thomson law ⋮ 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: Existence and Stability of Spherically Layered Solutions of the Diblock Copolymer Equation