Analysis for Allen-Cahn-Ohta-Nakazawa Model in a Ternary System

2020/05/19 by Sookyung Joo, Xiang Xu, Joo, Sookyung +3
Materials Science · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations #Numerical Analysis (math.NA) #Solidification and crystal growth phenomena

paper · pdf · doi:10.48550/arxiv.2005.09185

openalex publication_date 2020/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study the global well-posedness of the Allen-Cahn Ohta-Nakazawa model with two fixed nonlinear volume constraints. Utilizing the gradient flow structure of its free energy, we prove the existence and uniqueness of the solution by following De Giorgi's minimizing movement scheme in a novel way.

Citations

• A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows

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