57 citations · 152 across the 19 of their papers we have counts for
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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…
An inverse problem in quantum statistical physics
Florian Méhats, Olivier Pinaud
We address the following inverse problem in quantum statistical physics: does the quantum free energy (von Neumann entropy + kinetic energy) admit a unique minimizer among the dens…