Canonical variational completion of differential equations
Mathematical Physics
2015-04-22 v2 math.MP
Abstract
Given a non-variational system of differential equations, the simplest way of turning it into a variational one is by adding a correction term. In the paper, we propose a way of obtaining such a correction term, based on the so-called Vainberg-Tonti Lagrangian, and present several applications in general relativity and classical mechanics.
Cite
@article{arxiv.1406.6646,
title = {Canonical variational completion of differential equations},
author = {Nicoleta Voicu and Demeter Krupka},
journal= {arXiv preprint arXiv:1406.6646},
year = {2015}
}