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On the composite waves of the two-dimensional pseudo-steady van der Waals gas satisfied Maxwell’s law
Applied Mathematics Letters ( IF 3.7 ) Pub Date : 2024-03-14 , DOI: 10.1016/j.aml.2024.109066
Shuangrong Li , Wancheng Sheng

This paper is concerned with a model of phase transition, the Euler equations with van der Waals gas satisfied Maxwell’s law. We study the composite waves for the two-dimensional (2D) Euler equations for pseudo-steady supersonic flow with van der Waals gas satisfied Maxwell’s law around a sharp corner. According to the initial value of the specific volume and the properties of van der Waals gas, the composite waves at the sharp corner are constructed case by case. Recently, the centred wave solutions are constructed that include centered simple wave, contact discontinuity, composite wave (jump-fan, fan-jump or fan-jump-fan), . We mainly discuss the solutions involving expansive discontinuity wave in the present paper.

中文翻译:

满足麦克斯韦定律的二维伪稳态范德华气体的复合波

本文涉及相变模型,范德华气体的欧拉方程满足麦克斯韦定律。我们研究了范德华气体在尖角处满足麦克斯韦定律的伪稳态超音速流的二维 (2D) 欧拉方程的复合波。根据比容初始值和范德华气体的性质,逐例构造尖角处的复合波。最近,构建了中心波解,包括中心简单波、接触不连续波、复合波(跳跃-扇形、扇形-跳跃或扇形-跳跃-扇形)。本文主要讨论涉及膨胀间断波的解。
更新日期:2024-03-14
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