Abstract

We analyze the stability of the structure of a neutrally stable shock wave, which is also referred to as a spontaneously emitting shock wave. We have obtained solutions describing linear sinusoidal perturbations emerging in the structure and downflow which depend on the coordinate along the emitting structure. It is shown that these perturbations decay with time. We have also considered the limit transition for the dimensionless width of the structure, which tends to zero. The results obtained in the limit coincide with classical results when the shock wave is treated as the discontinuity surface.

中文翻译：

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气体中性稳定冲击波的结构稳定性及扰动的自发性

摘要

我们分析中性稳定冲击波（也称为自发冲击波）的结构稳定性。我们已经获得了描述结构中出现的线性正弦扰动和下流的解决方案，这些扰动取决于沿着发射结构的坐标。结果表明，这些扰动随时间衰减。我们还考虑了结构的无量纲宽度的极限过渡，该过渡趋于零。当冲击波作为不连续面时，在极限中获得的结果与经典结果一致。