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Canonical description of incompressible fluid: Dirac brackets approach

Author

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  • Nguyen, Sonnet
  • Turski, Łukasz A.

Abstract

We present a novel canonical description of the incompressible fluid dynamics. This description uses the dynamical constraints, in our case reflecting incompressibility assumption, and leads to replacement of usual hydrodynamical Poisson brackets for density and velocity fields with Dirac brackets. The resulting equations are then known nonlinear, and nonlocal in space, equations for incompressible fluid velocity.

Suggested Citation

  • Nguyen, Sonnet & Turski, Łukasz A., 1999. "Canonical description of incompressible fluid: Dirac brackets approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 272(1), pages 48-55.
    • Handle: RePEc:eee:phsmap:v:272:y:1999:i:1:p:48-55
    DOI: 10.1016/S0378-4371(99)00194-6
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    Cited by:

    1. Nguyen, Sonnet Hung Q. & Turski, Łukasz A., 2009. "Recursive properties of Dirac and metriplectic Dirac brackets with applications," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(2), pages 91-103.

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