Showing math.APShow all
3 papers · 1 filter
math.AP2025
Scattering for the positive density Hartree equation
Antoine Borie, Sonae Hadama, Julien Sabin
We study the asymptotic stability for large times of homogeneous stationary states for the nonlinear Hartree equation for density matrices in Rd for d\geq3. We can reach both the o…
math.AP2022
Compactness methods in Lieb's work
Julien Sabin
We review some compactness methods appearing in the work of Lieb, with an emphasis on the techniques developed around his 1983 article on the optimizers for the Hardy-Littlewood-So…
math.AP2021
The Dirac-Klein-Gordon system in the strong coupling limit
Jonas Lampart, Loïc Le Treust, Simona Rota Nodari +1
We study the Dirac equation coupled to scalar and vector Klein-Gordon fields in the limit of strong coupling and large masses of the fields. We prove convergence of the solutions t…