二维非等熵Euler-Poisson系统的全局拟中立极限

IF 2.3 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-06-05 DOI:10.1016/j.jde.2025.113485

Wan-Di Lu, Yong-Fu Yang

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引用次数: 0

摘要

本文的目的是研究二维非等熵欧拉-泊松系统Cauchy问题的全局拟中立极限。证明了当德拜长度趋于零时，系统全局收敛于非等熵欧拉方程。研究了常平衡态附近的光滑解。为了证实这些结果，导出了统一的能量估计和各种耗散估计。此外，还得到了全局收敛速率。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Global quasi-neutral limit for a two-fluid non-isentropic Euler-Poisson system in several space dimensions

The aim of this paper is to investigate the global quasi-neutral limit to the Cauchy problem for a two-fluid non-isentropic Euler-Poisson system in several space dimensions. We prove that the system converges globally to the non-isentropic Euler equations as the Debye length tends to zero. This problem is studied for smooth solutions near the constant equilibrium state. To establish these results, uniform energy estimates and various dissipation estimates are derived. Furthermore, the global convergence rate is obtained as well.

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics