Cahn–Hilliard equations governed by weakly nonlocal conservation laws and weakly nonlocal particle interactions

• Published in: Annales de l'Institut Henri Poincaré. Analyse non linéaire Vol. 39; no. 5; pp. 1179 - 1234
• Main Authors: Gal, Ciprian G., Shomberg, Joseph L.
• Format: Journal Article
• Language: English
• Published: 01.05.2022

We consider a doubly nonlocal nonlinear parabolic equation which describes phase segregation of a binary system subject to weak-to-weak interactions [Gal, Ann. Inst. H. Poincaré Anal. Non Linéaire 35 (2018)]. The proposed model reduces to the classical Cahn–Hilliard equation under certain conditions...