Zero-electron-mass limit for Euler-Poisson system in a bounded domain

被引：0

作者：

Ju, Qiangchang ^{[1
]}

Liu, Cunming ^{[2
]}

机构：

[1] Inst Appl Phys & Computat Math, POB 8009-28, Beijing 100088, Peoples R China

[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2025年 / 85卷

基金：

中国国家自然科学基金;

关键词：

Zero-electron-mass limit; Euler-Poisson system; a bounded domain; An insulating boundary condition; ASYMPTOTIC-BEHAVIOR; HYDRODYNAMIC MODELS; INCOMPRESSIBLE LIMIT; HYPERBOLIC SYSTEMS; SMOOTH SOLUTIONS; EXISTENCE;

D O I：

10.1016/j.nonrwa.2025.104376

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the zero-electron-mass limit of Euler-Poisson system in a bounded domain with an insulating boundary condition. The limit was only verified for the domain with no boundary in previous works. By approximation techniques, we establish the local well-posedness of classical solutions to the initial boundary value problem in the mixed space- time Sobolev space for the fixed parameter. Then, the local convergence of the system to the incompressible Euler equations with damping is proved rigorously for general initial data. Furthermore, the global convergence of smooth solutions is also justified for small initial data.

引用

页数：19

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