论文标题
Rankine-Hugoniot条件通过时空汉密尔顿动作获得
Rankine-Hugoniot conditions obtained by using the space-time Hamilton action
论文作者
论文摘要
在四维时空时，汉密尔顿动作的变化是研究保守流体介质的过程方程的强大工具。在此框架中，汉密尔顿的原理允许获得动作方程，能量方程以及兰金 - 霍尼奥特条件。当未用线性或准线性微分方程表示过程方程时，变量方法可能是获得复杂介质的冲击波条件的多功能密钥。
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.
