Article ID Journal Published Year Pages File Type
4606365 Differential Geometry and its Applications 2011 11 Pages PDF
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 Θ on the jet bundle of infinite order over a configurational bundle π:Yn+m→Xn 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
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