activity
20062025
most citedSplitting up method for the 2D stochastic Navier-Stokes equations

41 citations · 58 across the 5 of their papers we have counts for

collaborators

5 papers

math.AP2025

Well-posedness of the focusing stochastic nonlinear Schrödinger equation: -critical and supercritical cases

Annie Millet, Svetlana Roudenko

We study the focusing -critical and supercritical stochastic nonlinear Schrödinger equation subject to additive or multiplicative noise. We investigate global or long time beh…

math.AP2025

New invariant surface measures for the cubic Schrödinger equation

Jean-Baptiste Casteras, Ana Bela Cruzeiro, Annie Millet

We construct new invariant measures supported on mass level sets for the cubic defocusing nonlinear Schrödinger equation in dimensions and .

math.NA2024

Rate of convergence of a semi-implicit time Euler scheme for a 2D Bénard-Boussinesq model

Hakima Bessaih, Annie Millet

We prove that a semi-implicit time Euler scheme for the two-dimensional Bénard-Boussinesq model on the torus D converges. The rate of convergence in probability is almost 1/2 for a…

math.PR2013★ 41 cited

Splitting up method for the 2D stochastic Navier-Stokes equations

Hakima Bessaih, Zdzislaw Brzezniak, Annie Millet

In this paper, we deal with the convergence of an iterative scheme for the 2-D stochastic Navier-Stokes Equations on the torus suggested by the Lie-Trotter product formulas for sto…

math.PR2006★ 17 cited

On strongly Petrovskii's parabolic SPDEs in arbitrary dimension and the stochastic Cahn-Hilliard equation

Caoline Cardon-Weber, Annie Millet

In this paper we show that the Cahn-Hilliard stochastic SPDE has a function valued solution in dimension 4 and 5 when the perturbation is driven by a space-correlated Gaussian nois…