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Analytical proof shows periodic travelling waves for phase separation in a binary mixture, indicating dynamics in fluid mixtures.
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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Pedro J. Torres (2025) studied this question.
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