Skip to main content
Log in

Canonical Hamiltonian formulation of inviscid compressible barotropic fluids and a perturbative method for the compressibility

Каноническая Гамильтонова формулировка для невязких сжимаемых баротропных жидкостей и пертурбационный метод для сжимаемости

  • Published:
Il Nuovo Cimento B (1971-1996)

Summary

Inviscid compressible barotropic fluids (ICBF) are formulated in terms of a set of canonical variables. A perturbative scheme for treating time-dependent compressibility contributions to an initial configuration of the flow is derived.

Riassunto

Si formulano fluidi barotropici comprimibili perfetti nei termini di un insieme di variabili canoniche. Si deduce uno schema perturbativo per trattare contributi di comprimibilità dipendenti dal tempo ad una configurazione iniziale del flusso.

Резюме

Невязкие сжимаемые баротропные жидкости описываются с помошью системы канонических переменных. Развивается пертурбационная схема для анализа зависяших от времени вкладов сжимаемости в начальную конфигурацию потока.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. L. D. Landau:J. Phys.,5, 71 (1941).

    Google Scholar 

  2. R. Salmon:Mathematical Methods in Hydrodynamics and Integrability in Dynamical Systems, edited byM. Tabor andY. Treve:AIP Conference Proc., 88, 127 (1982).

  3. Mappings between the Lagrangian and Eulerian formulations have been considered inD. D. Holm, K. A. Kupershmidt andC. D. Levermore:Phys. Lett. A,98, 389 (1983) and references therein.

    Article  MathSciNet  ADS  Google Scholar 

  4. D. D. Holm, J. E. Marsden andT. S. Ratiu: inHamiltonian Structure and Lyapunov Stability for Ideal Continuum Dynamics, Appendix A, Séminaire de Mathématiques Supérieures, Vol.100 (Les Presses de l’Université de Montréal, 1986), p. 176.

  5. R. L. Seliger andG. B. Whitham:Proc. R. Soc. London, Ser. A,305, 1 (1968).

    Article  ADS  Google Scholar 

  6. H. L. Morrison, U. K. Albertin andJ. V. Lindesay:Phys. Lett. A,108, 397 (1982).

    Article  ADS  Google Scholar 

  7. ref. (3).

    Article  MathSciNet  ADS  Google Scholar 

  8. In ref. (1).

    MATH  Google Scholar 

  9. R. F. Dashen andD. H. Sharp:Phys. Rev.,165, 1857 (1968).

    Article  ADS  Google Scholar 

  10. E. Merzbacher:Quantum Mechanics, 2nd edition (John Wiley and Sons, Inc., New York, N.Y., 1970), Chapt. 15.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Traduzione a cura della Redazione.

Переведено редакцией.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Doria, M. Canonical Hamiltonian formulation of inviscid compressible barotropic fluids and a perturbative method for the compressibility. Nuov Cim B 104, 149–158 (1989). https://doi.org/10.1007/BF02906312

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02906312

Keywords

Navigation