3 papers
math.NA2023
Machine Learning Methods for Autonomous Ordinary Differential Equations
Maxime Bouchereau, Philippe Chartier, Mohammed Lemou +1
Ordinary Differential Equations are generally too complex to be solved analytically. Approximations thereof can be obtained by general purpose numerical methods. However, even thou…
math.AP2019
Nonlinear instability of inhomogeneous steady states solutions to the HMF Model
Mohammed Lemou, Ana Maria Luz, Florian Méhats
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 mo…
math.AP2017
Stable Ground States for the HMF Poisson Model
Marine Fontaine, Mohammed Lemou, Florian Méhats
In this paper we prove the nonlinear orbital stability of a large class of steady states solutions to the Hamiltonian Mean Field (HMF) system with a Poisson interaction potential.…