M. Zanella

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20172022

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math.PR2022

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 $R^{d}$ with d = 2 or d = 3, we prove the uniqueness of…

math.PR2018

Surface measures and integration by parts formula on levels sets induced by functionals of the Brownian motion in $R^{n}$

Stefano Bonaccorsi, Luciano Tubaro, Margherita Zanella

On the infinite dimensional space $E$ of continuous paths from $[0, 1]$ to $R^{n}$ , $n \geq 3$ , endowed with the Wiener measure $μ$ , we construct a surface measure defined on l…

math.PR2018

Stochastic vorticity equation in $R^{2}$ with not regular noise

Benedetta Ferrario, Margherita Zanella

We consider the Navier-Stokes equations in vorticity form in $R^{2}$ with a white noise forcing term of multiplicative type, whose spatial covariance is not regular enough t…

math.PR2017

Absolute continuity of the law for the two dimensional stochastic Navier-Stokes equations

Benedetta Ferrario, Margherita Zanella

We consider the two dimensional Navier-Stokes equations in vorticity form with a stochastic forcing term given by a gaussian noise, white in time and coloured in space. First, we p…

Ergodic results for the stochastic nonlinear Schrödinger equation with large damping

Surface measures and integration by parts formula on levels sets induced by functionals of the Brownian motion in Rn

Stochastic vorticity equation in R2 with not regular noise

Absolute continuity of the law for the two dimensional stochastic Navier-Stokes equations

Surface measures and integration by parts formula on levels sets induced by functionals of the Brownian motion in $R^{n}$

Stochastic vorticity equation in $R^{2}$ with not regular noise