57 citations · 152 across the 19 of their papers we have counts for
10 papers · 1 filter
Nonlinear stability criteria for the HMF Model
Mohammed Lemou, Ana Maria Luz, Florian Mehats
We study the nonlinear stability of a large class of inhomogeneous steady state solutions to the Hamiltonian Mean Field (HMF) model. Under a simple criterion, we prove the nonlinea…
Dimension reduction for rotating Bose-Einstein condensates with anisotropic confinement
Florian Mehats, Christof Sparber
We consider the three-dimensional time-dependent Gross-Pitaevskii equation arising in the description of rotating Bose-Einstein condensates and study the corresponding scaling limi…
On the controllability of quantum transport in an electronic nanostructure
Florian Méhats, Yannick Privat, Mario Sigalotti
We investigate the controllability of quantum electrons trapped in a two-dimensional device, typically a MOS field-effect transistor. The problem is modeled by the Schrödinger equa…
The Schrödinger-Poisson system on the sphere
Patrick Gérard, Florian Méhats
We study the Schrödinger-Poisson system on the unit sphere $\SS^2$ of $\RR^3$, modeling the quantum transport of charged particles confined on a sphere by an external potential. Ou…
Orbital stability of spherical galactic models
Mohammed Lemou, Florian Mehats, Pierre Raphael
We consider the three dimensional gravitational Vlasov Poisson system which is a canonical model in astrophysics to describe the dynamics of galactic clusters. A well known conject…
Stable ground states and self-similar blow-up solutions for the gravitational Vlasov-Manev system
Mohammed Lemou, Florian Méhats, Cyril Rigault
In this work, we study the orbital stability of steady states and the existence of blow-up self-similar solutions to the so-called Vlasov-Manev (VM) system. This system is a kineti…