2 papers
math.AP2026
The energy-critical stochastic nonlinear Schrödinger equation: well-posedness and blow-up
Annie Millet, Svetlana Roudenko
We investigate the focusing and defocusing energy-critical stochastic nonlinear Schrödinger equation, subject to random perturbations in the form of either additive or multiplicat…
math.PR2024
Weak error estimates of Galerkin approximations for the stochastic Burgers equation driven by additive trace-class noise
Charles-Edouard Bréhier, Sonja Cox, Annie Millet
We establish weak convergence rates for spectral Galerkin approximations of the stochastic viscous Burgers equation driven by additive trace-class noise. Our results complement the…