5 papers
Stochastic phase separation driven by transport noise
Andrea Di Primio, Andrea Papini, Luca Scarpa
Phase separation phenomena occurring in complex fluids are known to be sensitive to hydrodynamic effects: when a binary fluid mixture undergoes spinodal decomposition, the emerging…
The stochastic nonlocal Cahn-Hilliard equation with regular potential and multiplicative noise
Andrea Di Primio, Christoph Hurm
In this work, we deal with the stochastic counterpart of the nonlocal Cahn-Hilliard equation with regular potential in a smooth bounded one-, two- or three-dimensional domain. The…
An Allen-Cahn equation with jump-diffusion noise for biological damage and repair processes
Andrea Di Primio, Marvin Fritz, Luca Scarpa +1
This paper analyzes a stochastic Allen--Cahn equation for the dynamics of biomolecular damage and repair. The system is driven by two distinct noise processes: a multiplicative cyl…
Existence, uniqueness and asymptotic stability of invariant measures for the stochastic Allen-Cahn-Navier-Stokes system with singular potential
Andrea Di Primio, Luca Scarpa, Margherita Zanella
We study the long-time behaviour of a stochastic Allen-Cahn-Navier-Stokes system modelling the dynamics of binary mixtures of immiscible fluids. The model features two stochastic f…
On a diffuse interface model for diblock copolymers interacting with an electric field
Helmut Abels, Andrea Di Primio, Harald Garcke
We consider a diffuse interface model describing a ternary system constituted by a conductive diblock copolymer and a homopolymer acting as solvent. The resulting dynamics is model…