3 papers
math.PR2025
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…
math.AP2025
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 i…
math.PR2025
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…