Ergodicity and Mixing in a Five-Mode Spectral Model of Two-Dimensional Turbulence.
Abstract
A dynamical system derived by truncating to five frequencies a Fourier representation of the Euler equations for incompressible, two dimensional fluid flow is investigated. In using Fourier representations to model turbulence, investigators have assumed that the truncated systems are ergodic and mixing, although the validity of this assumption is an open question. The truncated Fourier system has seven independent constants of motion which define a three dimensional torus. Since a component of the solution to the system is quasiperiodic, the flow of the system can never be mixing and, in particular, cannot be mixing on the three dimensional tours defined by the constants of motion.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1986
- Accession Number
- ADA166922
Entities
People
- M. C. Mosher