Helicity current as a symplectic dilation

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dc.creatorGumral, Hasan
dc.date1999-04-14
dc.date.accessioned2026-07-07T04:32:47Z
dc.date.available2026-07-07T04:32:47Z
dc.descriptionA formal symplectic structure on RxM is constructed for the unsteady flow of an incompressible viscous fluid on a three dimensional domain M. The evolution equation for the helicity density is expressed via the divergence of the Liouville vector field that generates symplectic dilation. For an inviscid fluid this equation reduces to a conservation law. As an application the symplectic dilation is used to generate Hamiltonian automorphisms of the symplectic structure which are then related to the symmetries of the velocity field.
dc.descriptionLatex, 9 page, submitted to Physics Letters A
dc.identifierhttps://arxiv.org/abs/math-ph/9904012
dc.identifierhttp://arxiv.org/abs/math-ph/9904012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58319
dc.subjectMathematical Physics
dc.subjectSymplectic Geometry
dc.titleHelicity current as a symplectic dilation
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