AIMS Mathematics, 2017, 2(3): 479-544. doi: 10.3934/Math.2017.2.479

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The Cahn–Hilliard equation and some of its variants

Université de Poitiers, Laboratoire de Mathématiques et Applications, UMR CNRS 7348 - SP2MI, Boulevard Marie et Pierre Curie - Téléport 2, F-86962 Chasseneuil Futuroscope Cedex, France

Our aim in this article is to review and discuss the Cahn–Hilliard equation, as well as someof its variants. Such variants have applications in, e.g., biology and image inpainting.
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