• Corpus ID: 203902353

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}
}
  • K. Modin
  • Published 8 October 2019
  • Mathematics
  • arXiv: Mathematical Physics
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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