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Article Dans Une Revue Mechanics Research Communications Année : 1976

Noether theorem in fluid mechanics

Résumé

Invariance theorems in analytical mechanics, such as Noether's theorem, can be adapted to continuum mechanics. For this purpose, it is useful to give a functional representation of the motion and to interpret the groups of invariance with respect to the space of reference associated with Lagrangian variables. A convenient method of calculus uses the Lie derivative. For instance, Kelvin theorems can be obtained by such a method.
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hal-04095854 , version 1 (12-05-2023)

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Henri Gouin. Noether theorem in fluid mechanics. Mechanics Research Communications, 1976, 3 (3), pp.151-155. ⟨10.1016/0093-6413(76)90002-1⟩. ⟨hal-04095854⟩
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