Chetaev vs. vakonomic prescriptions in constrained field theories with parametrized variational calculus
Mathematical Physics
2008-11-26 v1 math.MP
Abstract
Starting from a characterization of admissible Cheataev and vakonomic variations in a field theory with constraints we show how the so called parametrized variational calculus can help to derive the vakonomic and the non-holonomic field equations. We present an example in field theory where the non-holonomic method proved to be unphysical.
Keywords
Cite
@article{arxiv.math-ph/0608063,
title = {Chetaev vs. vakonomic prescriptions in constrained field theories with parametrized variational calculus},
author = {Enrico Bibbona and Lorenzo Fatibene and Mauro Francaviglia},
journal= {arXiv preprint arXiv:math-ph/0608063},
year = {2008}
}