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arXiv · 0910.0874

Lagrange-Poincare field equations

David C. P. Ellis·Francois Gay-Balmaz·Darryl D. Holm·Tudor S. Ratiu
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Abstract

The Lagrange-Poincare equations of classical mechanics are cast into a field theoretic context together with their associated constrained variational principle. An integrability/reconstruction condition is established that relates solutions of the original problem with those of the reduced problem. The Kelvin-Noether theorem is formulated in this context. Applications to the isoperimetric problem, the Skyrme model for meson interaction, metamorphosis image dynamics, and molecular strands illustrate various aspects of the theory.

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BibTeXRIS

David C. P. Ellis, Francois Gay-Balmaz, Darryl D. Holm, Tudor S. Ratiu. 2009-10-05. Lagrange-Poincare field equations. https://doi.org/10.1016/j.geomphys.2011.06.007

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