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arXiv · 2510.18655

The Global Well-posedness of the Euler-Poisson System for Ions in 2D

Han Cui
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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.

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Han Cui. 2025-10-21. The Global Well-posedness of the Euler-Poisson System for Ions in 2D. https://arxiv.org/abs/2510.18655

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