90 citations · 370 across the 42 of their papers we have counts for
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Rational normal forms and stability of small solutions to nonlinear Schrödinger equations
Joackim Bernier, Erwan Faou, Benoit Grebert
We consider general classes of nonlinear Schrödinger equations on the circle with nontrivial cubic part and without external parameters. We construct a new type of normal forms, na…
Existence and stability of traveling waves for discrete nonlinear Schroedinger equations over long times
Joackim Bernier, Erwan Faou
We consider the problem of existence and stability of solitary traveling waves for the one dimensional discrete non linear Schroedinger equation (DNLS) with cubic nonlinearity, nea…
Linearized wave turbulence convergence results for three-wave systems
Erwan Faou
We consider stochastic and deterministic three-wave semi-linear systems with bounded and almost continuous set of frequencies. Such systems can be obtained by considering nonlinear…
Analysis of an asymptotic preserving scheme for stochastic linear kinetic equations in the diffusion limit
Nathalie Ayi, Erwan Faou
We present an asymptotic preserving scheme based on a micro-macro decomposition for stochastic linear transport equations in kinetic and diffusive regimes. We perfom a mathematical…