Remarks on the Lie derivative in fluid mechanics
Mathematical Physics
2023-04-10 v1 math.MP
Abstract
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.
Cite
@article{arxiv.2304.03340,
title = {Remarks on the Lie derivative in fluid mechanics},
author = {Henri Gouin},
journal= {arXiv preprint arXiv:2304.03340},
year = {2023}
}