Canonical description of incompressible fluid -- Dirac brackets approach
Fluid Dynamics
2010-09-10 v1 Mathematical Physics
math.MP
Classical Physics
Plasma Physics
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 non-local in space, equations for incompressible fluid velocity.
Keywords
Cite
@article{arxiv.1009.1705,
title = {Canonical description of incompressible fluid -- Dirac brackets approach},
author = {Sonnet H. Q. Nguyen and Lukasz A. Turski},
journal= {arXiv preprint arXiv:1009.1705},
year = {2010}
}
Comments
7 pages, latex