Optimal $L^1$-type Relaxation Rates for the Cahn--Hilliard Equation on the Line
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Publication:5244086
DOI10.1137/18M1192640zbMath1461.35058arXiv1806.02519OpenAlexW2991446870MaRDI QIDQ5244086
Maria G. Westdickenberg, Felix Otto, Sebastian Scholtes
Publication date: 20 November 2019
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.02519
gradient flowSchauder estimatesNash-type inequalitiesenergy-energy-dissipationalgebraic-in-time relaxation rates
Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for higher-order parabolic equations (35K30) Quasilinear parabolic equations (35K59)
Related Items (5)
Optimal relaxation of bump-like solutions of the one-dimensional Cahn–Hilliard equation ⋮ On the metastability of the \(1-d\) Allen-Cahn equation ⋮ Calculus of variations. Abstracts from the workshop held August 14--20, 2022 ⋮ Stationary solutions and large time asymptotics to a cross-diffusion-Cahn-Hilliard system ⋮ Metastability of the Cahn-Hilliard equation in one space dimension
Cites Work
- Asymptotic behavior near transition fronts for equations of generalized Cahn-Hilliard form
- Structured phase transitions on a finite interval
- On the Cahn-Hilliard equation
- 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
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Relaxation to Equilibrium in the One-Dimensional Cahn--Hilliard Equation
- A simple proof of stability of fronts for the Cahn-Hilliard equation
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