Scattering map for the Vlasov--Poisson system with a repulsive harmonic potential

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Wenrui Huang, Hyunwoo Kwon
DOI: 10.48550/arxiv.2602.21344
Cited by: 0

Abstract

We consider the Vlasov--Poisson system with a repulsive harmonic potential and prove (modified) scattering of solutions for small initial data. Moreover, we construct (modified) wave operators for small final data. The main novelty of this work is to introduce the kinetic lens transform which enables us to relax the regularity assumption and the spatial decay assumption on the initial data compared to Bigorgne, Velozo Ruiz, and Velozo Ruiz (2025) and Velozo Ruiz, and Velozo Ruiz (2024)and to construct wave operators.

Fields of Study & Subjects

Gas Dynamics and Kinetic Theory Advanced Mathematical Physics Problems Spectral Theory in Mathematical Physics

Publication details

Journal / source
arXiv (Cornell University)
Publication date
24 February 2026
Language
EN
Document type
Preprint