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arXiv · 2412.03156

Higher order potential in the modified convective-viscous Cahn-Hilliard equation

P. O. Mchedlov-Petrosyan·L. N. Davydov·O. A. Osmaev
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Abstract

To describe highly heterogeneous systems using the Cahn-Hilliard equation, the standard form of the thermodynamic potential with a constant coefficient in the gradient term and a polynomial of the fourth degree may not be sufficient. The modification of the form of the thermodynamic potential with a polynomial of the sixth degree and the quadratic dependence of the coefficient at the gradient term is considered. Exact solutions in the form of a moving static wave and the conditions of their existence depending on the symmetry of the potential are obtained.

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P. O. Mchedlov-Petrosyan, L. N. Davydov, O. A. Osmaev. 2024-12-04. Higher order potential in the modified convective-viscous Cahn-Hilliard equation. https://arxiv.org/abs/2412.03156

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