Landau damping in Sobolev spaces for the Vlasov-HMF model
Analysis of PDEs
2016-01-27 v2
Abstract
We consider the Vlasov-HMF (Hamiltonian Mean-Field) model. We consider solutions starting in a small Sobolev neighborhood of a spatially homogeneous state satisfying a linearized stability criterion (Penrose criterion). We prove that these solutions exhibit a scattering behavior to a modified state, which implies a nonlinear Landau damping effect with polynomial rate of damping.
Keywords
Cite
@article{arxiv.1403.1668,
title = {Landau damping in Sobolev spaces for the Vlasov-HMF model},
author = {Erwan Faou and Frédéric Rousset},
journal= {arXiv preprint arXiv:1403.1668},
year = {2016}
}