Periodic travelling waves of a forced Cahn-Hilliard equation

We prove analytically the existence of a uniparametric family of periodic travelling waves for a Cahn-Hilliard equation with an external forcing term modelling the phase separation of a binary mixture of fluids with thermal diffusion. Some quantitative estimates on the solutions are derived.

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Publication Details

Journal
Mathematical Modelling and Analysis
Published
2025-11-11
DOI
https://doi.org/10.3846/mma.2025.23435
Primary Topic
Solidification and crystal growth phenomena
Type
article
Field-Weighted Citation Impact
0.00

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article

Periodic travelling waves of a forced Cahn-Hilliard equation

Pedro J. Torres
Mathematical Modelling and Analysis
Solidification and crystal growth phenomena
article

Periodic travelling waves of a forced Cahn-Hilliard equation

Pedro J. Torres
article en

Abstract

We prove analytically the existence of a uniparametric family of periodic travelling waves for a Cahn-Hilliard equation with an external forcing term modelling the phase separation of a binary mixture of fluids with thermal diffusion. Some quantitative estimates on the solutions are derived.

Mathematical Modelling and AnalysisVol. 30(4)
Universidad de Granada (ES)
Ministerio de Ciencia, Innovación y Universidades
Openalex Percentile: Top 73%
Solidification and crystal growth phenomena
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Periodic travelling waves of a forced Cahn-Hilliard equation — Pedro J. Torres · Mathematical Modelling and Analysis (2025) | TGRS Research Map | TGRS