6 citations · 6 across the 1 of their papers we have counts for
3 papers
math.AP2021★ 6 cited
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…
math.AP2018
On Time-Discretization of the 2d Euler Equation by a Symplectic Crouch-Grossman Integrator
Romain Horsin
We consider time discretizations of the two-dimensional Euler equation written in vorticity form. The discretization method uses a Crouch-Grossman integrator that proceeds in two s…
math.NA2015
On numerical Landau damping for splitting methods applied to the Vlasov-HMF model
Erwan Faou, Romain Horsin, Frédéric Rousset
We consider time discretizations of the Vlasov-HMF (Hamiltonian Mean-Field) equation based on splitting methods between the linear and non-linear parts. We consider solutions start…