Variational principles for spin systems and the Kirchhoff rod

Abstract

We obtain the affine Euler-Poincaré equations by standard Lagrangian reduction and deduce the associated Clebsch-constrained variational principle. These results are illustrated in deriving the equations of motion for continuum spin systems and Kirchhoff’s rod, where they provide a unified geometric interpretation. 

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Cite this paper

@inproceedings{GayBalmaz2009VariationalPF, title={Variational principles for spin systems and the Kirchhoff rod}, author={François Gay-Balmaz and Darryl D. Holm and Tudor S. Ratiu}, year={2009} }