Displaying similar documents to “About boundary terms in higher order theories”

Lepage forms theory applied

Michal Lenc, Jana Musilová, Lenka Czudková (2009)

Archivum Mathematicum

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In the presented paper we apply the theory of Lepage forms on jet prolongations of fibred manifold with one-dimensional base to the relativistic mechanics. Using this geometrical theory, we obtain and discuss some well-known conservation laws in their general form and apply them to a concrete physical example.

Divergence boundary conditions for vector Helmholtz equations with divergence constraints

Urve Kangro, Roy Nicolaides (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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The idea of replacing a divergence constraint by a divergence boundary condition is investigated. The connections between the formulations are considered in detail. It is shown that the most common methods of using divergence boundary conditions do not always work properly. Necessary and sufficient conditions for the equivalence of the formulations are given.