Geodesic
Analysis of the Allen–Cahn–Ohta–Nakazawa model in a ternary system
Sookyung Joo1 ; Xiang Xu1 ; Yanxiang Zhao2
1Old Dominion University, Norfolk, USA
2George Washington University, USA
Interfaces and free boundaries, Tome 23 (2021) no. 4, pp. 535-559

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DOI

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.
DOI : 10.4171/ifb/465
Classification : 35-XX
Mots-clés : Allen–Cahn–Ohta–Nakazawa model, minimizing movement scheme, gradient flow

Sookyung Joo  1   ; Xiang Xu  1   ; Yanxiang Zhao  2

1 Old Dominion University, Norfolk, USA
2 George Washington University, USA 
Sookyung Joo; Xiang Xu; Yanxiang Zhao. Analysis of the Allen–Cahn–Ohta–Nakazawa model in a ternary system. Interfaces and free boundaries, Tome 23 (2021) no. 4, pp. 535-559. doi: 10.4171/ifb/465
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     author = {Sookyung Joo and Xiang Xu and Yanxiang Zhao},
     title = {Analysis of the {Allen{\textendash}Cahn{\textendash}Ohta{\textendash}Nakazawa} model in a ternary system},
     journal = {Interfaces and free boundaries},
     pages = {535--559},
     year = {2021},
     volume = {23},
     number = {4},
     doi = {10.4171/ifb/465},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/465/}
}
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