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arXiv · 1110.6891

On the Hamiltonian formulation of incompressible ideal fluids and magnetohydrodynamics via Dirac's theory of constraints

Cristel Chandre·Philip J. Morrison·Emanuele Tassi
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Abstract

The Hamiltonian structures of the incompressible ideal fluid, including entropy advection, and magnetohydrodynamics are investigated by making use of Dirac's theory of constrained Hamiltonian systems. A Dirac bracket for these systems is constructed by assuming a primary constraint of constant density. The resulting bracket is seen to naturally project onto solenoidal velocity fields.

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Cristel Chandre, Philip J. Morrison, Emanuele Tassi. 2011-10-31. On the Hamiltonian formulation of incompressible ideal fluids and magnetohydrodynamics via Dirac's theory of constraints. https://doi.org/10.1016/j.physleta.2011.12.015

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