A Symplectic Generalization of the Peradzynski Helicity Theorem and Some Applications

Simple item page
dc.creatorPrykarpatsky, Anatoliy K.
dc.creatorBogoliubov Jr., Nikolai N.
dc.creatorGolenia, Jolanta
dc.date2009-02-25
dc.date.accessioned2026-07-07T12:46:45Z
dc.date.available2026-07-07T12:46:45Z
dc.descriptionSymplectic and symmetry analysis for studying MHD superfluid flows is devised, a new version of the Z. Peradzynski helicity theorem based on differential - geometric and group-theoretical methods is derived. Having reanalyzed the Peradzynski helicity theorem within the modern symplectic theory of differential- geometric structures on manifolds, a new unified proof and a new generalization of this theorem for the case of compressible MHD superfluid flow are proposed. As a by-product, a sequence of nontrivial helicity type local and global conservation laws for the case of incompressible superfluid flow, playing a crucial role for studying the stability problem under suitable boundary conditions, is constructed.
dc.identifierhttps://arxiv.org/abs/0902.4408
dc.identifierhttp://arxiv.org/abs/0902.4408
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221492
dc.subjectMathematical Physics
dc.titleA Symplectic Generalization of the Peradzynski Helicity Theorem and Some Applications
dc.typetext

Files

Collections

arXiv