Conserved integrals for inviscid compressible fluid flow in Riemannian manifolds
Mathematical Physics
2016-02-17 v3 math.MP
Fluid Dynamics
Abstract
An explicit determination of all local conservation laws of kinematic type on moving domains and moving surfaces is presented for the Euler equations of inviscid compressible fluid flow on curved Riemannian manifolds in n>1 dimensions. All corresponding kinematic constants of motion are also determined, along with all Hamiltonian kinematic symmetries and kinematic Casimirs which arise from the Hamiltonian structure of the inviscid compressible fluid equations.
Keywords
Cite
@article{arxiv.1503.08859,
title = {Conserved integrals for inviscid compressible fluid flow in Riemannian manifolds},
author = {Stephen C. Anco and Amanullah Dar and Nazim Tufail},
journal= {arXiv preprint arXiv:1503.08859},
year = {2016}
}
Comments
26 pages; final version