40 citations · 405 across the 53 of their papers we have counts for
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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…
Weak uniqueness by noise for singular stochastic PDEs
Federico Bertacco, Carlo Orrieri, Luca Scarpa
We prove weak uniqueness of mild solutions for general classes of SPDEs on a Hilbert space. The main novelty is that the drift is only defined on a Sobolev-type subspace and no Höl…
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…
A note on regularity and separation for the stochastic Allen-Cahn equation with logarithmic potential
Carlo Orrieri, Luca Scarpa
We prove refined space-time regularity for the classical stochastic Allen-Cahn equation with logarithmic potential. This allows to establish a random separation property, i.e. that…