Noether theorem in fluid mechanics
Classical Physics
2023-05-16 v1
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.
Cite
@article{arxiv.2305.08563,
title = {Noether theorem in fluid mechanics},
author = {Henri Gouin},
journal= {arXiv preprint arXiv:2305.08563},
year = {2023}
}