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Research Article | Open Access

Global classical solution to three-component Cahn-Hilliard phase-field model

Ning Duan( ), Yinghao Wang
College of Sciences, Northeastern University, Shenyang 110004, China
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Abstract

The main purpose of this paper was to study the global existence for the Cauchy problem for three-component Cahn-Hilliard phase-field model in 2D whole space. We first constructed the local classical solutions, then by combining some a priori estimates and the continuity argument, the local classical solutions were extended step by step to all t > 0.

Keywords

global existenceCauchy problemthree-component Cahn-Hilliard equationlocal solutioncontinuity argument
CLC number: 35A01, 35B45, 35K55

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AIMS Mathematics
Volume 11 Issue 1,
January 2026
Pages 618-643
DOI: 10.3934/math.2026027

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Cite this article:
Duan N, Wang Y. Global classical solution to three-component Cahn-Hilliard phase-field model. AIMS Mathematics, 2026, 11(1): 618-643. https://doi.org/10.3934/math.2026027

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Received: 24 October 2025
Revised: 24 December 2025
Accepted: 30 December 2025
Published: 08 January 2026
©2026 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)