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Article Dans Une Revue Journal of Geometry and Physics Année : 2011

Lagrange-Poincaré field equations

Résumé

The Lagrange-Poincaré 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, and molecular strands illustrate various aspects of the theory. © 2011 Elsevier B.V.

Dates et versions

hal-01119196 , version 1 (21-02-2015)

Identifiants

Citer

D.C.P. Ellis, François Gay-Balmaz, D.D. Holm, T.S. Ratiu. Lagrange-Poincaré field equations. Journal of Geometry and Physics, 2011, 61 (11), pp.2120-2146. ⟨10.1016/j.geomphys.2011.06.007⟩. ⟨hal-01119196⟩
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