Excess charge for pseudo-relativistic atoms in Hartree-Fock theory.
Existence and asymptotic behaviour of standing waves for quasilinear Schrödinger–Poisson systems in
Existence and regularity of the solution of a time dependent Hartree-Fock equation coupled with a classical nuclear dynamics.
We study an Helium atom (composed of one nucleus and two electrons) submitted to a general time dependent electric field, modeled by the Hartree-Fock equation, whose solution is the wave function of the electrons, coupled with the classical Newtonian dynamics, for the position of the nucleus. We prove a result of existence and regularity for the Cauchy problem, where the main ingredients are a preliminary study of the regularity in a nonlinear Schrödinger equation with semi-group techniques and...
Existence and uniqueness of the solution of the coupled conduction-radiation energy transfer on diffuse-gray surfaces.
Existence de solutions avec petite donnée initiale dans pour une équation de Dirac non linéaire
Existence globale et comportement asymptotique pour l'équation de Klein–Gordon quasi linéaire à données petites en dimension 1
Existence of minimizers for Kohn-Sham models in quantum chemistry