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arXiv · 2011.00847

Rankine-Hugoniot conditions obtained by using the space-time Hamilton action

Henri Gouin
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Abstract

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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BibTeXRIS

Henri Gouin. 2020-11-02. Rankine-Hugoniot conditions obtained by using the space-time Hamilton action. https://doi.org/10.1007/s11587-020-00512-w

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