Variational principles for spin systems and the Kirchhoff rod

Details Variational principles for spin systems and the Kirchhoff rod Variational principles for spin systems and the Kirchhoff rod

2009-04-08

arxiv.org/abs/0904.1428v1

Nonlinear Sciences

Chaotic Dynamics

Submitted to Journal of Geometric Mechanics, 29 pages, no figures

Scientific paper

We obtain the affine Euler-Poincar\'e 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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