Variational principles for spin systems and the Kirchhoff rod

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

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Chaotic Dynamics

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http://salesiana.dossiersoluciones.com/handle/123456789/226301

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0904.1428
 http://arxiv.org/abs/0904.1428

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arXiv