3 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 be…
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…