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Article Dans Une Revue International Journal of Non-Linear Mechanics Année : 2023

Remarks on the Lie derivative in fluid mechanics

Résumé

The invariance theorems obtained in analytical mechanics and derived from Noether's theorems can be adapted to fluid mechanics. For this purpose, it is useful to give a functional representation of the fluid motion and to interpret the invariance group with respect to time in the quadri-dimensional reference space of Lagrangian variables. A powerful method of calculation uses Lie's derivative, and many invariance theorems and conservation laws can be obtained in fluid mechanics.
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hal-04058110 , version 1 (04-04-2023)

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Henri Gouin. Remarks on the Lie derivative in fluid mechanics. International Journal of Non-Linear Mechanics, 2023, 150, pp.104347. ⟨10.1016/j.ijnonlinmec.2022.104347⟩. ⟨hal-04058110⟩
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