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math.AP2025
On the Cahn-Hilliard equation with nonlinear diffusion: the non-convex case
Monica Conti, Stefania Gatti, Andrea Giorgini +1
We investigate the Cahn-Hilliard equation with nonlinear diffusion and non-degenerate mobility modeling phase separation phenomena in complex systems (e.g., crystals and polymers).…
math.AP2025
Regularity of a bulk-surface Cahn-Hilliard model driven by Leray velocity fields
Andrea Giorgini, Patrik Knopf, Jonas Stange
We consider a convective bulk-surface Cahn--Hilliard system with dynamic boundary conditions and singular potentials. For this model, well-posedness results concerning weak and str…