On Linear Damping around Inhomogeneous Stationary States of the Vlasov-HMF Model - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Journal of Dynamics and Differential Equations Year : 2021

On Linear Damping around Inhomogeneous Stationary States of the Vlasov-HMF Model

Abstract

We study the dynamics of perturbations around an inhomogeneous stationary state of the Vlasov-HMF (Hamiltonian Mean-Field) model, satisfying a linearized stability criterion (Penrose criterion). We consider solutions of the linearized equation around the steady state, and prove the algebraic decay in time of the Fourier modes of their density. We prove moreover that these solutions exhibit a scattering behavior to a modified state, implying a linear Landau damping effect with an algebraic rate of damping.
Fichier principal
Vignette du fichier
pendulelineaire6.pdf (479.74 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03218110 , version 1 (05-05-2021)

Identifiers

Cite

Erwan Faou, Romain Horsin, Frédéric Rousset. On Linear Damping around Inhomogeneous Stationary States of the Vlasov-HMF Model. Journal of Dynamics and Differential Equations, 2021, 33 - special issue (3), pp.1531-1577. ⟨10.1007/s10884-021-10044-y⟩. ⟨hal-03218110⟩
39 View
75 Download

Altmetric

Share

Gmail Facebook X LinkedIn More