半导体流体力学模型的稳定声速-次声速解的唯一性

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-08-30 DOI:10.1016/j.aml.2024.109289

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引用次数: 0

摘要

本文研究了具有声边界的半导体等熵流体力学模型的稳态声 subsonic 解的唯一性。我们提供了一种新方法来改进稳态声 subsonic 解唯一性的证明，即使对于一般等熵情况也是如此。具体而言，我们应用了指数变化法，并结合一系列与边界电子退化相关的修正。本文提出的方法比现有方法更简单、更完善。

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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The uniqueness of steady sonic–subsonic solution to hydrodynamic model for semiconductors

In this paper, we study the uniqueness of the stationary sonic–subsonic solution to the isentropic hydrodynamic model of semiconductors with sonic boundary. We provide a new method to improve the proof of the uniqueness of the steady-state sonic–subsonic solution, even for the general isentropic case. In detail, we apply the exponential variation method combining a series of modifications with respect to the degeneracy of electrons at the boundary. The proposed method in the present paper is much simpler and perfecter than the existing methods.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.