Integrability and Hamiltonian system in isotropic turbulence
Fluid Dynamics
2013-02-15 v2 Statistical Mechanics
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We present developments of the Hamiltonian approach to problems of the freely decay of isotropic turbulence, and also consider specific applications of the modified Prelle-Singer procedure to isotropic turbulence. It demonstrates that a nonlinear second order ordinary differential equation is intimately related to the self-preserving solution of Karman-Howarth equation, admitting time-dependent first integrals and also proving the nonstandard Hamiltonian structure, as well as the Liouville sense of integrability.
Cite
@article{arxiv.1302.0919,
title = {Integrability and Hamiltonian system in isotropic turbulence},
author = {Zheng Ran},
journal= {arXiv preprint arXiv:1302.0919},
year = {2013}
}
Comments
7 pages;0 figures