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

2025/10/21 by Han Cui, Cui, Han
Earth and Planetary Sciences · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Ocean Waves and Remote Sensing

paper · pdf · doi:10.48550/arxiv.2510.18655

openalex publication_date 2025/10/21 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

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.

Citations

• The Euler-Maxwell two-fluid system in 3D
• Global existence for capillary water waves
• Global solutions of quasilinear systems of Klein--Gordon equations in 3D
• The Euler--Poisson system in 2D: global stability of the constant\n equilibrium solution

Related

• Smooth global solutions for the two dimensional Euler Poisson system
• The Cauchy problem for the two dimensional Euler-Poisson system
• The Euler--Poisson system in 2D: global stability of the constant\n equilibrium solution
• Nonexistence of multi-dimensional solitary waves for the Euler-Poisson system
• A half-space problem on the full Euler-Poisson system