1302.0919 (Zheng Ran)

Integrability and Hamiltonian system in isotropic turbulence    [PDF]

Zheng Ran

We present developments of the Hamiltonian approach to problems of the freely decay of isotropic turbulence, and also considers specific applications of the modified Prelle-Singer procedure to isotropic turbulence. We demonstrate that a nonlinear second order ordinary differential equation is intimately related to the self-preserving solution of Karman-Howarth equation, admiting time-dependent first integrals and also proving the nonstandard Hamiltonian structure, as well as the Liouville sense of integrability.

View original: http://arxiv.org/abs/1302.0919