Integrability in Fluid Dynamics

Subir Ghosh

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arXiv · hep-th/0106166

Integrability in Fluid Dynamics

Subir Ghosh

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Abstract

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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Subir Ghosh. 2001-06-29. Integrability in Fluid Dynamics. https://arxiv.org/abs/hep-th/0106166

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