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Article Dans Une Revue Wave Motion Année : 2020

Rankine–Hugoniot conditions for fluids whose energy depends on space and time derivatives of density

Résumé

By using the Hamilton principle of stationary action, we derive the governing equations and Rankine-Hugoniot conditions for continuous media where the specific energy depends on the space and time density derivatives. The governing system of equations is a time reversible dispersive system of conservation laws for the mass, momentum and energy. We obtain additional relations to the Rankine-Hugoniot conditions coming from the conservation laws and discuss the well-founded of shock wave discontinuities for dispersive systems.
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Dates et versions

hal-02956097 , version 1 (02-10-2020)

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S.L. L Gavrilyuk, Henri Gouin. Rankine–Hugoniot conditions for fluids whose energy depends on space and time derivatives of density. Wave Motion, 2020, 98, pp.102620. ⟨10.1016/j.wavemoti.2020.102620⟩. ⟨hal-02956097⟩
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