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.

中文翻译：

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稳态声波-亚音速解对半导体流体动力学模型的独特性


在本文中，我们研究了稳态声波-亚音速解对具有声波边界的半导体等熵流体动力学模型的独特性。我们提供了一种新方法来改进稳态声波-亚音速解的唯一性的证明，即使对于一般的等熵情况也是如此。详细地说，我们应用了指数变化方法，结合了关于边界处电子简并性的一系列修改。本文提出的方法比现有方法简单、完善得多。