# Geometric Hydrodynamics: from Euler, to Poincar\'e, to Arnold.

@article{Modin2019GeometricHF, title={Geometric Hydrodynamics: from Euler, to Poincar\'e, to Arnold.}, author={Klas Modin}, journal={arXiv: Mathematical Physics}, year={2019} }

These are lecture notes for a short winter course at the Department of Mathematics, University of Coimbra, Portugal, December 6--8, 2018. The course was part of the 13th International Young Researchers Workshop on Geometry, Mechanics and Control.
In three lectures I trace the work of three heroes of mathematics and mechanics: Euler, Poincare, and Arnold. This leads up to the aim of the lectures: to explain Arnold's discovery from 1966 that solutions to Euler's equations for the motion of an…

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