33 citations · 84 across the 6 of their papers we have counts for
4 papers · 1 filter
Second order perturbation theory of two-scale systems in fluid dynamics
Arnaud Debussche, Umberto Pappalettera
In the present paper we study slow-fast systems of coupled equations from fluid dynamics, where the fast component is perturbed by additive noise. We prove that, under a suitable l…
From additive to transport noise in 2D fluid dynamics
Franco Flandoli, Umberto Pappalettera
Additive noise in Partial Differential equations, in particular those of fluid mechanics, has relatively natural motivations. The aim of this work is showing that suitable multisca…
2D Euler equations with Stratonovich transport noise as a large scale stochastic model reduction
Franco Flandoli, Umberto Pappalettera
The limit from an Euler type system to the 2D Euler equations with Stratonovich transport noise is investigated. A weak convergence result for the vorticity field and a strong conv…
Stochastic model reduction: convergence and applications to climate equations
Sigurd Assing, Franco Flandoli, Umberto Pappalettera
We study stochastic model reduction for evolution equations in infinite dimensional Hilbert spaces, and show the convergence to the reduced equations via abstract results of Wong-Z…