Affordable Access

deepdyve-link
Publisher Website

Lagrangian Description, Symplectic Structure, and Invariants of 3D Fluid Flow

Authors
  • Gumral, H.
Type
Preprint
Publication Date
Mar 24, 1997
Submission Date
Mar 24, 1997
Identifiers
DOI: 10.1016/S0375-9601(97)00404-0
arXiv ID: solv-int/9703012
Source
arXiv
License
Unknown
External links

Abstract

Three dimensional unsteady flow of fluids in the Lagrangian description is considered as an autonomous dynamical system in four dimensions. The condition for the existence of a symplectic structure on the extended space is the frozen field equations of the Eulerian description of motion. Integral invariants of symplectic flow are related to conservation laws of the dynamical equation. A scheme generating infinite families of symmetries and invariants is presented. For the Euler equations these invariants are shown to have a geometric origin in the description of flow as geodesic motion; they are also interpreted in connection with the particle relabelling symmetry.

Report this publication

Statistics

Seen <100 times