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math.AP2021
Around plane waves solutions of the Schr{ö}dinger-Langevin equation
Quentin Chauleur, Erwan Faou
We consider the logarithmic Schr{ö}dinger equations with damping, also called Schr{ö}dinger-Langevin equation. On a periodic domain, this equation possesses plane wave solutions th…
math.AP2021
Discrete pseudo-differential operators and applications to numerical schemes
Erwan Faou, Benoît Grébert
We define a class of discrete operators acting on infinite, finite or periodic sequences mimicking the standard properties of pseudo-differential operators. In particular we can de…
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…