Integrability in Fluid Dynamics

Details Integrability in Fluid Dynamics Integrability in Fluid Dynamics

2001-06-19

arxiv.org/abs/hep-th/0106166v2

Physics

High Energy Physics

High Energy Physics - Theory

The paper is rewritten with generalizations of previous results

Scientific paper

3+1-dimensional free inviscid fluid dynamics is shown to satisfy the criteria for exact integrability, i.e. having an infinite set of independent, conserved quantities in involution, with the Hamiltonian being one of them. With (density dependent) interaction present, distinct infinite serieses of conserved quantities in involution are discovered. Clebsch parametrization of the velocity field is used in the the latter analysis. Relativistic generalization of the free system is also shown to be integrable.

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