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Numerical Methods for a System of Coupled Cahn-Hilliard Equations

Numerical Analysis 2021-04-07 v2 Numerical Analysis

Abstract

In this work, we study a system of coupled Cahn-Hilliard equations describing the phase separation of a copolymer and a homopolymer blend. The numerical methods we propose are based on suitable combinations of existing schemes for the single Cahn-Hilliard equation. As a verification for our approach, we present some tests and a detailed description of the numerical solutions' behaviour obtained by varying the values of the parameters.

Keywords

Cite

@article{arxiv.1905.01482,
  title  = {Numerical Methods for a System of Coupled Cahn-Hilliard Equations},
  author = {Mattia Martini and Giacomo Enrico Sodini},
  journal= {arXiv preprint arXiv:1905.01482},
  year   = {2021}
}
R2 v1 2026-06-23T08:56:57.567Z