Abstract

In this paper, we consider the problems of the dynamics of plane shock waves in media with one-dimensional longitudinal density stratification. The rationale, features, and limits of applicability of the Whitham method for calculating the wave propagation parameters are discussed. The dependence of the velocity of a plane shock wave on the medium density ahead of its front is obtained for any wave intensity.

中文翻译：

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纵向分层介质中冲击波的动力学

摘要

本文考虑一维纵向密度分层介质中平面激波动力学问题。讨论了Whitham方法用于计算波传播参数的原理，特征和适用范围。对于任何波强度，都可以获得平面激波的速度对其前方前方介质密度的依赖性。