Su di un invariante integrale dei continui hamiltoniani

Elisa Grandori Guagenti

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1974)

  • Volume: 56, Issue: 1, page 65-71
  • ISSN: 0392-7881

Abstract

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This paper deals with continuous mechanical systems, following hamiltonian formalism. It is shown that each continuous system has invariant integrals of the type of Poincaré's invariant integrals. Two examples are discussed: Thomson theorem in fluid dynamics is found again, then it is extended to magnetofluid dynamics.

How to cite

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Grandori Guagenti, Elisa. "Su di un invariante integrale dei continui hamiltoniani." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 56.1 (1974): 65-71. <http://eudml.org/doc/293718>.

@article{GrandoriGuagenti1974,
author = {Grandori Guagenti, Elisa},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {ita},
month = {1},
number = {1},
pages = {65-71},
publisher = {Accademia Nazionale dei Lincei},
title = {Su di un invariante integrale dei continui hamiltoniani},
url = {http://eudml.org/doc/293718},
volume = {56},
year = {1974},
}

TY - JOUR
AU - Grandori Guagenti, Elisa
TI - Su di un invariante integrale dei continui hamiltoniani
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1974/1//
PB - Accademia Nazionale dei Lincei
VL - 56
IS - 1
SP - 65
EP - 71
LA - ita
UR - http://eudml.org/doc/293718
ER -

References

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  1. KOLMOGOROV, A. N., On the conservation of Quasi-Periodic Motions for a Small Change in the Hamiltonian Function, «Dokl. Akad. Nauk.», 98, 4 (1954). MR68687
  2. ARNOLD, V. I. e AVEZ, A., Ergodic Problems of Classical Mechanics, Benjamin W. A., Inc., 1968. Zbl0715.70004MR232910
  3. MOSER, J., On Theory of Quasi-Periodic Motion, Siam Review, 1966. MR203160DOI10.1137/1008035
  4. TER HAAR, D., Elements of Hamiltonian Mechanics, North Holland Publ. Comp., Amsterdam, 1961. Zbl0111.19302MR128100
  5. GOLDSTEIN, H., Meccanica classica, Zanichelli, Bologna1961. 
  6. SCHIFF, L. I., Quantum Mechanics, McGraw Hill, New York, 1949. 
  7. UDESCHINI, P., Sulla forma hamiltoniana della teoria einsteiniana della gravitazione, «Rend. Sem. Mat. Fis.», Milano1968. 
  8. WHITTAKER, E. T., Analytical Dynamics of Particles and Rigid Bodies, Dover Publ., New York, 1944. Zbl0061.41806MR10813
  9. GANTMACHER, F., Lectures in Analytical Mechanics, MIR Publ., Moscow, 1970. 
  10. CARTAN, E., Leçons sur les invariants intégraux, Hermann, Paris, 1971. MR355764
  11. MATTEI, G., The Lagrangian and Hamiltonian Formulation for Magneto-Fluid-Dynamics Waves, «Boll. U.M.I.», 4, 7 (1973). Zbl0268.76079

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