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.

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

BIBBONA, Enrico;FATIBENE, Lorenzo;FRANCAVIGLIA, Mauro
2007-01-01

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.
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http://arxiv.org/pdf/math-ph/0608063v1.pdf
Constrained systems; Variational Calculus
E. BIBBONA; L. FATIBENE; M. FRANCAVIGLIA
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/25159
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