Subsonic Solutions for the Multidimensional Euler-Poisson System of Plasma

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Mathematical Methods in the Applied Sciences Pub Date : 2025-07-04 DOI:10.1002/mma.11190

Yan Zhou

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引用次数: 0

Abstract

In this study, we investigate the steady Euler-Poisson system that governs the dynamics of a collisionless ion-electron plasma. We establish the unique existence and structural stability of subsonic potential flow in a multidimensional nozzle. This is accomplished by prescribing the electric potential difference on a noninsulated boundary from a fixed point at the exit, along with specifying the pressure at the exit. The Euler-Poisson system is reformulated into a second-order quasilinear elliptic system, and the key ingredient of the analysis is to gain the $C^{1, α}$ estimate of the corresponding linearized system.

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等离子体多维欧拉-泊松系统的亚音速解

在本研究中，我们研究了控制无碰撞离子-电子等离子体动力学的稳定欧拉-泊松系统。建立了多维喷管中亚音速势流的独特存在性和结构稳定性。这是通过规定从出口固定点到非绝缘边界上的电位差，以及指定出口的压力来实现的。将欧拉-泊松系统重新表述为二阶拟线性椭圆系统，分析的关键是得到相应线性化系统的c1， α $$ {C}&#x0005E;{1,\alpha } $$估计。

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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来源期刊

Mathematical Methods in the Applied Sciences 数学-应用数学

CiteScore

4.90

自引率

6.90%

发文量

798

审稿时长

6 months

期刊介绍： Mathematical Methods in the Applied Sciences publishes papers dealing with new mathematical methods for the consideration of linear and non-linear, direct and inverse problems for physical relevant processes over time- and space- varying media under certain initial, boundary, transition conditions etc. Papers dealing with biomathematical content, population dynamics and network problems are most welcome. Mathematical Methods in the Applied Sciences is an interdisciplinary journal: therefore, all manuscripts must be written to be accessible to a broad scientific but mathematically advanced audience. All papers must contain carefully written introduction and conclusion sections, which should include a clear exposition of the underlying scientific problem, a summary of the mathematical results and the tools used in deriving the results. Furthermore, the scientific importance of the manuscript and its conclusions should be made clear. Papers dealing with numerical processes or which contain only the application of well established methods will not be accepted. Because of the broad scope of the journal, authors should minimize the use of technical jargon from their subfield in order to increase the accessibility of their paper and appeal to a wider readership. If technical terms are necessary, authors should define them clearly so that the main ideas are understandable also to readers not working in the same subfield.