90 citations · 370 across the 42 of their papers we have counts for
49 papers
Large time nonlinear dynamics close to inhomogeneous stationary states of the Vlasov-HMF model
Erwan Faou, Frédéric Rousset, Tooryanand Seetohul
We consider the Vlasov-HMF (Hamiltonian Mean-Field) model and symmetric perturbations of symmetric inhomogeneous stationary states that are naturally associated with a pendulum Ham…
A toy model for frequency cascade in the nonlinear Schrodinger equation
Rémi Carles, Erwan Faou
We present an elementary approach to observe frequency cascade on forced nonlinear Schr{ö}dinger equations. The forcing term (which may also appear as a potential term instead) con…
Fully discrete backward error analysis for the midpoint rule applied to the nonlinear Schroedinger equation
Erwan Faou, Georg Maierhofer, Katharina Schratz
The use of symplectic numerical schemes on Hamiltonian systems is widely known to lead to favorable long-time behaviour. While this phenomenon is thoroughly understood in the conte…
A generalized spectral concentration problem and the varying masks algorithm
Erwan Faou, Yoann Le Henaff
In this paper we generalize the spectral concentration problem as formulated by Slepian, Pollak and Landau in the 1960s. We show that a generalized version with arbitrary space and…
Scattering, random phase and wave turbulence
Erwan Faou, Antoine Mouzard
We start from the remark that in wave turbulence theory, exemplified by the cubic twodimensional Schr{ö}dinger equation (NLS) on the real plane, the regularity of the resonant mani…
Modulation algorithm for the nonlinear Schr{ö}dinger equation
Erwan Faou, Yoann Le Henaff, Pierre Raphaël
Based on recent ideas, stemming from the use of bubbles, we discuss an algorithm for the numerical simulation of the cubic nonlinear Schr{ö}dinger equation with harmonic potential…