29 citations · 106 across the 22 of their papers we have counts for
26 papers
Continuous data assimilation for 2D stochastic Navier-Stokes equations
Hakima Bessaih, Benedetta Ferrario, Oussama Landoulsi +1
Continuous data assimilation methods, such as the nudging algorithm introduced by Azouani, Olson, and Titi (AOT) [2], are known to be highly effective in deterministic settings for…
Long time behavior of the stochastic 2D Navier-Stokes equations
Benedetta Ferrario, Margherita Zanella
We review some basic results on existence and uniqueness of the invariant measure for the two-dimensional stochastic Navier-Stokes equations. A large part of the literature concern…
Global well posedness and ergodic results in regular Sobolev spaces for the nonlinear Schrödinger equation with multiplicative noise and arbitrary power of the nonlinearity
Zdzisław Brzeźniak, Benedetta Ferrario, Mario Maurelli +1
We consider the nonlinear Schrödinger equation on the -dimensional torus , with the nonlinearity of polynomial type . For any and $s>\fr…
Uniqueness of the invariant measure and asymptotic stability for the 2D Navier Stokes equations with multiplicative noise
Benedetta Ferrario, Margherita Zanella
We establish the uniqueness and the asymptotic stability of the invariant measure for the two dimensional Navier Stokes equations driven by a multiplicative noise which is either b…
Stationary solutions for the nonlinear Schrödinger equation
Benedetta Ferrario, Margherita Zanella
We construct stationary statistical solutions of a deterministic unforced nonlinear Schrödinger equation, by perturbing it by a linear damping and a stochastic force whose int…
Ergodic results for the stochastic nonlinear Schrödinger equation with large damping
Zdzislaw Brzezniak, Benedetta Ferrario, Margherita Zanella
We study the nonlinear Schrödinger equation with linear damping, i.e. a zero order dissipation, and additive noise. Working in with d = 2 or d = 3, we prove the uniqueness of…