2 papers
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-ph2024
Dynamics of mean-field Fermi systems with nonzero pairing
Stefano Marcantoni, Marcello Porta, Julien Sabin
We study the dynamics of many-body Fermi systems, for a class of initial data which are close to quasi-free states exhibiting a nonvanishing pairing matrix. We focus on the mean-fi…