JournalsifbVol. 23, No. 4pp. 535–559

Analysis of the Allen–Cahn–Ohta–Nakazawa model in a ternary system

  • Sookyung Joo

    Old Dominion University, Norfolk, USA

  • Xiang Xu

    Old Dominion University, Norfolk, USA

  • Yanxiang Zhao

    George Washington University, USA
Analysis of the Allen–Cahn–Ohta–Nakazawa model in a ternary system cover
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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.

Cite this article

Sookyung Joo, Xiang Xu, Yanxiang Zhao, Analysis of the Allen–Cahn–Ohta–Nakazawa model in a ternary system. Interfaces Free Bound. 23 (2021), no. 4, pp. 535–559

DOI 10.4171/IFB/465