191 citations · 844 across the 24 of their papers we have counts for
26 papers
Speed of convergence of time Euler schemes for a stochastic 2D Boussinesq model
Hakima Bessaih, Annie Millet
We prove that an implicit time Euler scheme for the 2D-Boussinesq model on the torus converges. Various moment of the -norms of the velocity and temperature, as well a…
Strong L2 convergence of time Euler schemes for stochastic 3D Brinkman-Forchheimer-Navier-Stokes equations
Hakima Bessaih, Annie Millet
We prove that some time Euler schemes for the 3D Navier-Stokes equations modified by adding a Brinkman-Forchheimer term and a random perturbation converge in . This extends…
Strong rates of convergence of space-time discretization schemes for the 2D Navier-Stokes equations with additive noise
Hakima Bessaih, Annie Millet
We consider the strong solution of the 2D Navier-Stokes equations in a torus subject to an additive noise. We implement a fully implicit time numerical scheme and a finite element…
Behavior of solutions to the 1D focusing stochastic nonlinear Schrödinger equation with spatially correlated noise
Annie Millet, Alex D Rodriguez, Svetlana Roudenko +1
We study the focusing stochastic nonlinear Schrödinger equation in one spatial dimension with multiplicative noise, driven by a Wiener process white in time and colored in space, i…
Behavior of solutions to the 1D focusing stochastic -critical and supercritical nonlinear Schrödinger equation with space-time white noise
Annie Millet, Svetlana Roudenko, Kai Yang
We study the focusing stochastic nonlinear Schrödinger equation in 1D in the -critical and supercritical cases with an additive or multiplicative perturbation driven by space-…
Space-time Euler discretization schemes for the stochastic 2D Navier-Stokes equations
Hakima Bessaih, Annie Millet
We prove that the implicit time Euler scheme coupled with finite elements space discretization for the 2D Navier-Stokes equations on the torus subject to a random perturbation conv…