2 papers
math.AP2026
Long-time dynamics of Vlasov--Hartree systems across the Coulomb threshold
Wenrui Huang, Mengyi Xie
We study the three-dimensional Vlasov--Hartree system with Coulomb and inverse-power interactions. For small, regular, localized data, we prove global well-posedness and determine…
math.AP2026
Inverse Modified Scattering for Cubic NLS with a Repulsive Delta Potential
Mengyi Xie
We study the one-dimensional cubic nonlinear Schrödinger equation with a repulsive delta potential and a localized inhomogeneous coefficient. We prove small-data modified scatterin…