Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606365 | Differential Geometry and its Applications | 2011 | 11 Pages |
Abstract
In this work we apply infinitesimal variational calculus to the systems of balance equations. We determine a class of the exterior n+(n+1)-forms Î on the jet bundle of infinite order over a configurational bundle Ï:Yn+mâXn similar to the class of Lepage n-forms. Systems of differential equations obtained in the way similar to one used in the Lagrangian field theory, include the Euler-Lagrange equations corresponding to a Lagrangian functions as well as arbitrary regular systems of balance equations. For a balance system with a symmetry group G we present the Noether balance laws corresponding to the generators of the Lie algebra of the group G.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Serge Preston,