By proposing a notion of Radon measure solutions of the compressible Euler equations, we consider in the paper uniform stationary hypersonic-limit flows passing a two-dimensional finite non-symmetric obstacle with static gas downstream behind the obstacle, and construct solutions with mass concentrated on the boundary of the obstacle and then on free layers beyond it. The Newton–Busemann pressure law on lifts/drags of the obstacle in hypersonic flow is rigorously derived. The pressure of the static gas influences the structure of the solution. Both terminations and interactions of the free concentration layers may be possible. We give some criterions about it and also present some numerical examples to demonstrate these possibilities.

中文翻译：

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稳定高超声速极限欧拉流通过二维有限非对称障碍物和自由浓度层相互作用的氡测量解

通过提出可压缩欧拉方程的氡测度解的概念，我们在论文中考虑均匀静止高超声速极限流通过二维有限非对称障碍物，障碍物下游有静态气体，并构建质量集中在障碍物的边界，然后是超出障碍物的自由层。严格推导出高超声速流中障碍物的升力/阻力的牛顿-布斯曼压力定律。静态气体的压力影响溶液的结构。自由浓度层的终止和相互作用都是可能的。我们给出了一些关于它的标准，并提供了一些数值例子来证明这些可能性。