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.
2007
48
1
14
http://arxiv.org/pdf/math-ph/0608063v1.pdf
Constrained systems; Variational Calculus
E. BIBBONA; L. FATIBENE; M. FRANCAVIGLIA
File in questo prodotto:
File Dimensione Formato  
VACvsNHft_pubbl.pdf

Accesso aperto

Tipo di file: PDF EDITORIALE
Dimensione 200.57 kB
Formato Adobe PDF
200.57 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/25159
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 6
  • ???jsp.display-item.citation.isi??? 5
social impact