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

AIMS Mathematics 2026 Open access

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Authors: Ning Duan, Yinghao Wang
DOI: 10.3934/math.2026027
Cited by: 0
References: 39

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 $.

Fields of Study & Subjects

Solidification and crystal growth phenomena Nonlinear Partial Differential Equations Navier-Stokes equation solutions

Publication details

Journal / source
AIMS Mathematics
Volume
11
Issue
1
Pages
618–643
Publication date
1 January 2026