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American Institute of Physics, Journal of Mathematical Physics, 3(48), p. 032903

DOI: 10.1063/1.2709848

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Chetaev versus vakonomic prescriptions in constrained field theories with parametrized variational calculus

Journal article published in 2007 by Enrico Bibbona ORCID, Lorenzo Fatibene, Mauro Francaviglia
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This paper is available in a repository.

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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.