40 citations · 405 across the 53 of their papers we have counts for
53 papers
Pathwise uniqueness by noise for singular stochastic PDEs
Davide Addona, Davide Bignamini, Carlo Orrieri +1
Pathwise uniqueness for stochastic PDEs with drift in differential form is a main open problem in the recent literature on regularisation by noise. This paper establishes a self-co…
Weak stability by noise for approximations of doubly nonlinear evolution equations
Carlo Orrieri, Luca Scarpa, Ulisse Stefanelli
Doubly nonlinear stochastic evolution equations are considered. Upon assuming the additive noise to be rough enough, we prove the existence of probabilistically weak solutions of F…
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)…
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…