Integrability in Fluid Dynamics
High Energy Physics - Theory
2007-05-23 v2 Exactly Solvable and Integrable Systems
Fluid Dynamics
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.
Cite
@article{arxiv.hep-th/0106166,
title = {Integrability in Fluid Dynamics},
author = {Subir Ghosh},
journal= {arXiv preprint arXiv:hep-th/0106166},
year = {2007}
}
Comments
The paper is rewritten with generalizations of previous results