5 papers
Ergodicity for a class of stochastic Hasegawa-Mima equations with dissipation
Federico Butori, Ciro Campolina, Franco Flandoli
This work deals with the ergodicity of the stochastic dissipative Hasegawa--Mima equations in a bounded domain driven by additive noise. The uniqueness of the invariant measure is…
Exponential decay of mass for inertial coalescing particles with Hamiltonian noise
Sandra Cerrai, Franco Flandoli, Mengzi Xie
We study a system of inertial particles on a two-dimensional torus $\T^2$, evolving under a second-order stochastic dynamics with position-dependent friction and noise ampl…
The inertial Itô drift and its applications to particle collision
Sandra Cerrai, Franco Flandoli, Mengzi Xie
The small mass limit of an inertial system driven by an Ornstein Uhlenbeck fluid force, with correlation time going to zero, leads to a first order system with an additiona…
The Stefan problem with mushy region as a scaling limit of stochastic PDE with turbulent transport
Ioana Ciotir, Franco Flandoli, Dan Goreac
This work establishes a scaling limit theorem for the Stefan problem incorporating a mushy region, demonstrating that solutions to stochastic variants with turbulent transport term…
An Existence Result for a Stochastic Stefan Problem With Mushy Region and Turbulent Transport Noise
Ioana Ciotir, Franco Flandoli, Dan Goreac
This work is devoted to the proof of the existence of a martingale solution for a complex version of the stochastic Stefan problem. This particular formulation incorporates two imp…