21 citations · 26 across the 4 of their papers we have counts for
5 papers
From Stochastic Zakharov System to Multiplicative Stochastic Nonlinear Schr{ö}dinger Equation
Grégoire Barrué, Anne de Bouard, Arnaud Debussche
We study the convergence of a Zakharov system driven by a time white noise, colored in space, to a multiplicative stochastic nonlinear Schr{ö}dinger equation, as the ion-sound spee…
Stochastic homogenization of the Landau-Lifshitz-Gilbert equation
François Alouges, Anne De Bouard, Benoît Merlet +1
Following the ideas of V. V. Zhikov and A. L. Pyatnitski, and more precisely the stochastic two-scale convergence, this paper establishes a homogenization theorem in a stochastic s…
Uniqueness of the nonlinear Schrödinger Equation driven by jump processes
Erika Hausenblas, Anne de Bouard, Martin Ondrejat
In a recent paper by the first two named authors, existence of martingale solutions to a stochastic nonlinear Schrödinger equation driven by a Lévy noise was proved. In this paper,…
The nonlinear Schrödinger Equation driven by jump processes
Anne de Bouard, Erika Hausenblas
The main result of the paper is the existence of a solution of the nonlinear Schrödinger equation with a \levy noise with infinite activity. To be more precise, let be the La…
Long wave expansions for water waves over random topography
Anne de Bouard, Walter Craig, Oliver Díaz-Espinosa +2
In this paper, we study the motion of the free surface of a body of fluid over a variable bottom, in a long wave asymptotic regime. We assume that the bottom of the fluid region ca…