Periodic travelling waves of a forced Cahn-Hilliard equation

DOI: https://doi.org/10.3846/mma.2025.23435

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.

Keywords:

Cahn-Hilliard equation, phase separation, travelling wave, periodic solution, a priori estimates

How to Cite

Torres, P. J. (2025). Periodic travelling waves of a forced Cahn-Hilliard equation. Mathematical Modelling and Analysis, 30(4), 707–713. https://doi.org/10.3846/mma.2025.23435

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November 11, 2025
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References

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2025-11-11

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How to Cite

Torres, P. J. (2025). Periodic travelling waves of a forced Cahn-Hilliard equation. Mathematical Modelling and Analysis, 30(4), 707–713. https://doi.org/10.3846/mma.2025.23435

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