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math.AP2026
A common structure for modified scattering: Vlasov--Riesz, Hartree, and their coupling
Wenrui Huang, Mengyi Xie
We identify a common action--density structure for the Hartree and Vlasov--Riesz equations and their coupling. Along free rays, the feedback between nonlinear actions and rescaled…
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.AP2024
Scattering of the Vlasov-Riesz system in the three dimensions
Wenrui Huang, Hyunwoo Kwon
We consider an asymptotic behavior of solutions to the Vlasov-Riesz system of order in which is a kinetic model induced by Riesz interactions. We prove small dat…