On the Doubly Non-local Hele-Shaw–Cahn–Hilliard System: Derivation and 2D Well-Posedness

Starting from a classic non-local (in space) Cahn–Hilliard–Stokes model for two-phase flow in a thin heterogeneous fluid domain, we rigorously derive by mathematical homogenization a new effective mixture model consisting of a coupling of a non-local (in time) Hele-Shaw equation with a non-local (in...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Journal of nonlinear science 2024-06, Vol.34 (3), Article 43
Hauptverfasser:	Peter, Malte A., Woukeng, Jean Louis
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Classical Mechanics Economic Theory/Quantitative Economics/Mathematical Methods Homogenization Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Theoretical Two phase flow Well posed problems
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!