Variational Principles For Spin Systems And The Kirchhoff Rod
2009
Abstract
We obtain the affine Euler-Poincare 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.
Details
Title
Variational Principles For Spin Systems And The Kirchhoff Rod
Author(s)
Gay-Balmaz, Francois ; Holm, Darryl D. ; Ratiu, Tudor S.
Published in
Journal Of Geometric Mechanics
Volume
1
Pages
417-444
Date
2009
Keywords
Other identifier(s)
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Laboratories
CAG2
Record Appears in
Scientific production and competences > SB - School of Basic Sciences > SB Archives > CAG2 - Chair of Algebraic Geometry (closed)
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date
2011-12-16