Variational principles for spin systems and the Kirchhoff rod
classification
🌊 nlin.CD
keywords
equationskirchhoffspinsystemsvariationalaffineassociatedclebsch-constrained
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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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