Stable ground states for the HMF Poisson model

In this paper we prove the nonlinear orbital stability of a large class of steady state solutions to the Hamiltonian Mean Field (HMF) system with a Poisson interaction potential. These steady states are obtained as minimizers of an energy functional under one, two or infinitely many constraints. The...

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Veröffentlicht in:	Annales de l'Institut Henri Poincaré. Analyse non linéaire 2019-01, Vol.36 (1), p.217-255
Hauptverfasser:	Fontaine, Marine, Lemou, Mohammed, Méhats, Florian
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis of PDEs Kinetic equations Mathematics Orbital stability Rearrangement inequalities Variational methods
Online-Zugang:	Volltext
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