The Global Well-posedness of the Euler-Poisson System for Ions in 2D
Analysis of PDEs
2025-10-22 v1
Abstract
This paper aims to establish the global well-posedness of the Euler-Poisson system for ions in 2D. The difficulties arising from time resonance at low frequencies and slow decay will be overcome by applying the method developed for the gravity-capillary water waves and Euler-Maxwell systems.
Cite
@article{arxiv.2510.18655,
title = {The Global Well-posedness of the Euler-Poisson System for Ions in 2D},
author = {Han Cui},
journal= {arXiv preprint arXiv:2510.18655},
year = {2025}
}