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math.AP2023★ 1 cited
On the separation property and the global attractor for the nonlocal Cahn-Hilliard equation in three dimensions
Andrea Giorgini
In this note, we consider the nonlocal Cahn-Hilliard equation with constant mobility and singular potential in three dimensional bounded and smooth domains. Given any global soluti…
math.AP2023
Global Solutions for Two-Phase Complex Fluids with Quadratic Anchoring in Soft Matter Physics
Giulia Bevilacqua, Andrea Giorgini
We study a diffuse interface model describing the complex rheology and the interfacial dynamics during phase separation in a polar liquid-crystalline emulsion. More precisely, the…