Optimal relaxation of bump-like solutions of the one-dimensional Cahn–Hilliard equation
From MaRDI portal
Publication:5067722
DOI10.1080/03605302.2021.1987458zbMath1491.35031arXiv2104.14004OpenAlexW3211565080MaRDI QIDQ5067722
Sarah Biesenbach, Richard Schubert, Maria G. Westdickenberg
Publication date: 4 April 2022
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.14004
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order parabolic equations (35K35) Semilinear parabolic equations (35K58)
Related Items
Corrigendum to: ``Metastability of the Cahn-Hilliard equation in one space dimension ⋮ Calculus of variations. Abstracts from the workshop held August 14--20, 2022 ⋮ Erratum to “optimal relaxation of bump-like solutions of the one-dimensional Cahn–Hilliard equation”
Cites Work
- Unnamed Item
- Generation, propagation, and annihilation of metastable patterns
- Asymptotic behavior near transition fronts for equations of generalized Cahn-Hilliard form
- Structured phase transitions on a finite interval
- Slow motion for the Cahn-Hilliard equation in one space dimension
- Metastable patterns for the Cahn-Hilliard equation. I
- Metastable patterns for the Cahn-Hilliard equation. II: Layer dynamics and slow invariant manifold
- Slow-motion manifolds, dormant instability, and singular perturbations
- Self-similar solutions with fat tails for Smoluchowski's coagulation equation with locally bounded kernels
- Metastability of the Cahn-Hilliard equation in one space dimension
- Slow motion of gradient flows
- On the metastability of the \(1-d\) Allen-Cahn equation
- Numerical Studies of the Cahn-Hilliard Equation for Phase Separation
- On the slowness of phase boundary motion in one space dimension
- On the slow dynamics for the Cahn–Hilliard equation in one space dimension
- Metastable patterns in solutions of ut = ϵ2uxx − f(u)
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Optimal $L^1$-type Relaxation Rates for the Cahn--Hilliard Equation on the Line
- Relaxation to Equilibrium in the One-Dimensional Cahn--Hilliard Equation
- A simple proof of stability of fronts for the Cahn-Hilliard equation
