利用时空Hamilton action得到的Rankine-Hugoniot条件
Rankine-Hugoniot conditions obtained by using the space-time Hamilton action
摘要：
在四维时空中，Hamilton作用量的变分是研究守恒流体过程方程的有力工具。在这个框架中，Hamilton原理允许获得运动方程、能量方程以及Rankine-Hugoniot条件。当过程方程不是线性或拟线性微分方程时，变分法可能是获得复杂介质冲击波条件的万能钥匙。
英文摘要：
In the quadri-dimensional space-time, the variation of Hamilton's action is a powerful tool to study the process equations for conservative fluid media. In this framework, Hamilton's principle allows to obtain equation of motions, equation of energy but also Rankine-Hugoniot conditions. The varia-tional method may be a versatile key to obtain the shock-wave conditions for complex media when the equations of processes are not expressed by linear or quasi-linear differential equations.
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