Rigorous continuation of bifurcation points in the diblock copolymer equation
type: Item
instance of: scholarly article
title: Rigorous continuation of bifurcation points in the diblock copolymer equation
zbMATH Open document ID: 1404.35030
author: Jean-Philippe Lessard
author: Evelyn Sander
author: Thomas Wanner
published in: Journal of Computational Dynamics
publication date: 2018-08-08T00:00:00Z
Mathematics Subject Classification ID: 35B32
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 65G20
Mathematics Subject Classification ID: 65P30
Mathematics Subject Classification ID: 35B41
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 65G30
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 74N99
Mathematics Subject Classification ID: 58E09
Mathematics Subject Classification ID: 35K35
zbMATH DE Number: 6914795
zbMATH Keywords: bifurcation diagram
zbMATH Keywords: pitchfork bifurcations
zbMATH Keywords: saddle-node bifurcations
zbMATH Keywords: computer assisted-proof
zbMATH Keywords: diblock copolymer model
describes a project that uses: INTLAB
describes a project that uses: CkAnalytic
MaRDI profile type: Publication
full work available at URL: jcd.2017003
OpenAlex ID: W2762201087
cites work: Computer-assisted methods for the study of stationary solutions in dissipative systems, applied to the Kuramoto-Sivashinski equation
cites work: Integration of Dissipative Partial Differential Equations: A Case Study
cites work: Nucleation in the one-dimensional stochastic Cahn-Hilliard model
cites work: Degenerate nucleation in the Cahn-Hilliard-Cook model
cites work: Global bifurcation diagrams of steady states of systems of PDEs via rigorous numerics: a 3-component reaction-diffusion system
cites work: On the Phase Diagram for Microphase Separation of Diblock Copolymers: An Approach via a Nonlocal Cahn–Hilliard Functional
cites work: On the derivation of a density functional theory for microphase separation of diblock copolymers
cites work: Q4492675
cites work: Validated Continuation for Equilibria of PDEs
cites work: The Dynamics of Nucleation in Stochastic Cahn–Morral Systems
cites work: Rigorous computation of smooth branches of equilibria for the three dimensional Cahn-Hilliard equation
cites work: Validated continuation over large parameter ranges for equilibria of PDEs
cites work: Counting stationary solutions of the Cahn–Hilliard equation by transversality arguments
cites work: Rigorous numerics for analytic solutions of differential equations: the radii polynomial approach
cites work: Branch interactions and long-term dynamics for the diblock copolymer model in one dimension
cites work: A computer-assisted proof of the Feigenbaum conjectures
cites work: Continuation of solutions and studying delay differential equations via rigorous numerics
cites work: Computer Assisted Fourier Analysis in Sequence Spaces of Varying Regularity
cites work: Rigorous numerics for the Cahn-Hilliard equation on the unit square
cites work: STRUCTURE OF THE ATTRACTOR OF THE CAHN–HILLIARD EQUATION ON A SQUARE
cites work: The Calculation of Turning Points of Nonlinear Equations
cites work: NUMERICAL VERIFICATION METHODS FOR SOLUTIONS OF ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS
cites work: Some mathematical aspects of the micro-phase separation in diblock copolymers
cites work: An Existence and Inclusion Method for Two‐Point Boundary Value Problems with Turning Points
cites work: Existence and enclosure results for continua of solutions of parameter- dependent nonlinear boundary value problems
cites work: Q4949347
cites work: Validated saddle-node bifurcations and applications to lattice dynamical systems
cites work: Non-simple Turning Points and Cusps
cites work: Rigorous numerics in dynamics
cites work: Global smooth solution curves using rigorous branch following
cites work: Validation of the bifurcation diagram in the 2D Ohta–Kawasaki problem
cites work: Computer-assisted bifurcation diagram validation and applications in materials science
cites work: Computer-assisted equilibrium validation for the diblock copolymer model
cites work: The Computation of Symmetry-Breaking Bifurcation Points
cites work: A Numerical Verification Method for Solutions of Boundary Value Problems with Local Uniqueness by Banach's Fixed-Point Theorem
cites work: Q3706042
DOI: 10.3934/JCD.2017003
description: scientific article; zbMATH DE number 6914795