2001/06/19 by Subir Ghosh, Ghosh, Subir
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #High Energy Physics - Theory (hep-th) #hep-th #nlin.SI #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.hep-th/0106166
The paper is rewritten with generalizations of previous results
arxiv created 2001/06/29 · arxiv updated 2009/11/30
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.