Integrability in Fluid Dynamics

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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.
The paper is rewritten with generalizations of previous results

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High Energy Physics - Theory, Exactly Solvable and Integrable Systems, Fluid Dynamics

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http://salesiana.dossiersoluciones.com/handle/123456789/50751

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/0106166
 http://arxiv.org/abs/hep-th/0106166

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arXiv