3 papers
math.AP2025
On a non-local phase-field model for tumour growth with single-well Lennard-Jones potential
Maurizio Grasselli, Luca Melzi, Andrea Signori
In the present work, we develop a comprehensive and rigorous analytical framework for a non-local phase-field model that describes tumour growth dynamics. The model is derived by c…
math.AP2024
Cahn-Hilliard equations with singular potential, reaction term and pure phase initial datum
Maurizio Grasselli, Luca Scarpa, Andrea Signori
We consider local and nonlocal Cahn-Hilliard equations with constant mobility and singular potentials including, e.g., the Flory-Huggins potential, subject to no-flux (or periodic)…
math.AP2023
Stochastic Cahn-Hilliard and conserved Allen-Cahn equations with logarithmic potential and conservative noise
Andrea Di Primio, Maurizio Grasselli, Luca Scarpa
We investigate the Cahn-Hilliard and the conserved Allen-Cahn equations with logarithmic type potential and conservative noise in a periodic domain. These features ensure that the…