论文标题
气体流量中的冲击波
Shock Waves in Euler Flows of Gases
论文作者
论文摘要
研究了非平稳的欧拉流量。描述此类流的微分方程系统可以通过零喷射空间上的2形式表示，我们通过这种表示来获得一些精确的解决方案。获得的溶液是多估的，我们提供了一种查找苛刻和波前位移的方法。该方法可以应用于任何热力学状态以及任何热力学过程的模型。我们说明了绝热理想气流的方法。
Non-stationary Euler flows of gases are studied. The system of differential equations describing such flows can be represented by means of 2-forms on zero-jet space and we get some exact solutions by means of such a representation. Solutions obtained are multivalued and we provide a method of finding caustics, as well as wave front displacement. The method can be applied to any model of thermodynamic state as well as to any thermodynamic process. We illustrate the method on adiabatic ideal gas flows.
