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Article Dans Une Revue Ricerche di matematica Année : 2020

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

Résumé

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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Dates et versions

hal-02984542 , version 1 (31-10-2020)

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Henri Gouin. Rankine–Hugoniot conditions obtained by using the space–time Hamilton action. Ricerche di matematica, 2020, ⟨10.1007/s11587-020-00512-w⟩. ⟨hal-02984542⟩
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