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arXiv · 2305.08563

Noether theorem in fluid mechanics

Henri Gouin
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Abstract

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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Henri Gouin. 2023-05-15. Noether theorem in fluid mechanics. https://doi.org/10.1016/0093-6413(76)90002-1

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