Chetaev vs. vakonomic prescriptions in constrained field theories with parametrized variational calculus

Details Chetaev vs. vakonomic prescriptions in constrained field theories with parametrized variational calculus Chetaev vs. vakonomic prescriptions in constrained field theories with parametrized variational calculus

2006-08-30

arxiv.org/abs/math-ph/0608063v1

J.Math.Phys.48:032903,2007

Physics

Mathematical Physics

Scientific paper

10.1063/1.2709848

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.

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