Nonlinear instability of inhomogeneous steady states solutions to the HMF Model
Analysis of PDEs
2020-01-08 v2
Abstract
In this work we prove the nonlinear instability of inhomogeneous steady states solutions to the Hamiltonian Mean Field (HMF) model. We first study the linear instability of this model under a simple criterion by adapting the techniques developed in [19]. In a second part, we extend to the inhomogeneous case some techniques developed in [14, 17, 18] and prove a nonlinear instability result under the same criterion.
Keywords
Cite
@article{arxiv.1902.09785,
title = {Nonlinear instability of inhomogeneous steady states solutions to the HMF Model},
author = {Mohammed Lemou and Ana Maria Luz and Florian Méhats},
journal= {arXiv preprint arXiv:1902.09785},
year = {2020}
}