Canonical description of incompressible fluid: Dirac brackets approach

Sonnet Nguyen and Łukasz A. Turski

Physica A: Statistical Mechanics and its Applications, 1999, vol. 272, issue 1, 48-55

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.

Keywords: Fluid dynamics; Poisson brackets; Hamiltonian formulation; Dirac constraints (search for similar items in EconPapers)
Date: 1999
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:272:y:1999:i:1:p:48-55

DOI: 10.1016/S0378-4371(99)00194-6

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