4 papers · 1 filter
Global weak solutions to the Cahn-Hilliard equation with degenerate mobility and singular diffusion
Monica Conti, Andrea Giorgini, Greta Ricchi
We study the initial-boundary value problem for the Cahn-Hilliard equation with degenerate mobility and singular diffusion at pure phases. This model describes the dynamics of phas…
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).…
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…
New results for the Cahn-Hilliard equation with non-degenerate mobility: well-posedness and longtime behavior
Monica Conti, Pietro Galimberti, Stefania Gatti +1
We study the Cahn-Hilliard equation with non-degenerate concentration-dependent mobility and logarithmic potential in two dimensions. We show that any weak solution is unique, exhi…