Lagrange-Poincare field equations

Details Lagrange-Poincare field equations Lagrange-Poincare field equations

2009-10-05

arxiv.org/abs/0910.0874v1

J.Geom.Phys.61:2120-2146,2011

Nonlinear Sciences

Chaotic Dynamics

Submitted to Journal of Geometry and Physics, 45 pages, 1 figure

Scientific paper

10.1016/j.geomphys.2011.06.007

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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