4 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…
Strong Feller property, irreducibility, and uniqueness of the invariant measure for stochastic PDEs with degenerate multiplicative noise
Luca Scarpa, Margherita Zanella
We establish strong Feller property and irreducibility for the transition semigroup associated to a class of nonlinear stochastic partial differential equations with multiplicative…
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…