The steady states of the one-dimensional Cahn-Hilliard equation

DOI10.1016/0893-9659(92)90036-9zbMath0770.35036OpenAlexW2059562392MaRDI QIDQ1195633

Amy Novick-Cohen, Lambertus A. Peletier

Publication date: 6 January 1993

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(92)90036-9

zbMATH Keywords

conserved gradient flowdynamics of first order phase transitions in binary systemsnumber of nontrivial monotone increasing steady state solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Phase transitions (general) in equilibrium statistical mechanics (82B26) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (3)

The steady states of the one-dimensional Cahn-Hilliard equation ⋮ Bifurcations of steady states for the Eguchi–Oki–Matsumura model of phase separation ⋮ Weak solutions to the Cahn-Hilliard equation with degenerate diffusion mobility in \(\mathbb{R} ^N\)

Cites Work

• Structured phase transitions on a finite interval
• Slow motion for the Cahn-Hilliard equation in one space dimension
• The steady states of the one-dimensional Cahn-Hilliard equation
• Slow-motion manifolds, dormant instability, and singular perturbations
• Asymptotic behavior of solution to the Cahn-Hillard equation
• On the structure of equilibrium phase transitions within the gradient theory of fluids
• Metastable patterns in solutions of u_t = ϵ²u_xx − f(u)
• Free Energy of a Nonuniform System. I. Interfacial Free Energy

This page was built for publication: The steady states of the one-dimensional Cahn-Hilliard equation