Canonical description of incompressible fluid -- Dirac brackets approach

Details Canonical description of incompressible fluid -- Dirac brackets approach Canonical description of incompressible fluid -- Dirac brackets approach

2010-09-09

arxiv.org/abs/1009.1705v1

Physica A 272, 48-55 (1999)

Physics

Fluid Dynamics

7 pages, latex

Scientific paper

10.1016/S0378-4371(99)00194-6

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 non-local in space, equations for incompressible fluid velocity.

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