148 citations · 564 across the 30 of their papers we have counts for
41 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…
Low regularity error estimates for the time integration of 2D NLS
Lun Ji, Alexander Ostermann, Frédéric Rousset +1
A filtered Lie splitting scheme is proposed for the time integration of the cubic nonlinear Schrödinger equation on the two-dimensional torus . The scheme is analyzed…
Incompressible limit for the free surface Navier-Stokes system
Nader Masmoudi, Frédéric Rousset, Changzhen Sun
We establish uniform regularity estimates with respect to the Mach number for the three-dimensional free surface compressible Navier-Stokes system in the case of slightly well-prep…
Uniform regularity for the compressible Navier-Stokes system with low Mach number in bounded domains
Nader Masmoudi, Frédéric Rousset, Changzhen Sun
We establish uniform with respect to the Mach number regularity estimates for the isentropic compressible Navier-Stokes system in smooth domains with Navier-slip condition on the b…
Time integrators for dispersive equations in the long wave regime
María Cabrera Calvo, Frédéric Rousset, Katharina Schratz
We introduce a novel class of time integrators for dispersive equations which allow us to reproduce the dynamics of the solution from the classical up to long wa…
On Linear Damping Around Inhomogeneous Stationary States of the Vlasov-HMF Model
Erwan Faou, Romain Horsin, Frédéric Rousset
We study the dynamics of perturbations around an inhomogeneous stationary state of the Vlasov-HMF (Hamiltonian Mean-Field) model, satisfying a linearized stability criterion (Penro…