40 citations · 405 across the 53 of their papers we have counts for
4 papers · 2 filters
Analysis and computations of a stochastic Cahn-Hilliard model for tumor growth with chemotaxis and variable mobility
Marvin Fritz, Luca Scarpa
In this work, we present and analyze a system of PDEs, which models tumor growth by considering chemotaxis, active transport, and random effects. The stochasticity of the system is…
Local asymptotics and optimal control for a viscous Cahn-Hilliard-Reaction-Diffusion model for tumor growth
Elisa Davoli, Elisabetta Rocca, Luca Scarpa +1
In this paper we study nonlocal-to-local asymptotics for a tumor-growth model coupling a viscous Cahn-Hilliard equation describing the tumor proportion with a reaction-diffusion eq…
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…
Strict separation and numerical approximation for a non-local Cahn-Hilliard equation with single-well potential
Abramo Agosti, Elisabetta Rocca, Luca Scarpa
In this paper we study a non-local Cahn-Hilliard equation with singular single-well potential and degenerate mobility. This results as a particular case of a more general model der…