Relaxation to Equilibrium in the One-Dimensional Cahn--Hilliard Equation

DOI10.1137/130925517zbMath1288.35087OpenAlexW2048884404MaRDI QIDQ5415075

Felix Otto, Maria G. Westdickenberg

Publication date: 9 May 2014

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

Full work available at URL: https://semanticscholar.org/paper/0a094f36f8fa54b9ac6d32925835f662e7d1906a

zbMATH Keywords

gradient flowone space dimensionenergy-energy-dissipationkink profile

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order parabolic equations (35K35) Stability in context of PDEs (35B35) Semilinear parabolic equations (35K58)

Related Items (9)

Optimal relaxation of bump-like solutions of the one-dimensional Cahn–Hilliard equation ⋮ On the metastability of the \(1-d\) Allen-Cahn equation ⋮ Corrigendum to: ``Metastability of the Cahn-Hilliard equation in one space dimension ⋮ Stationary solutions and large time asymptotics to a cross-diffusion-Cahn-Hilliard system ⋮ Relaxation to equilibrium in the one-dimensional thin-film equation with partial wetting and linear mobility ⋮ Relaxation to a planar interface in the Mullins-Sekerka problem ⋮ A gradient flow approach to relaxation rates for the multi-dimensional Cahn-Hilliard Equation ⋮ Optimal $L^1$-type Relaxation Rates for the Cahn--Hilliard Equation on the Line ⋮ Metastability of the Cahn-Hilliard equation in one space dimension

This page was built for publication: Relaxation to Equilibrium in the One-Dimensional Cahn--Hilliard Equation