2 papers
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
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…