Book chapter
Turbulent statistical dynamics of a system of point vortices
Fundamental Problematic Issues in Turbulence, pp 151-161
1999
Abstract
Turbulence is the name usually given to an imperfectly understood class of chaotic solutions to the Navier-Stokes equation in which many degrees of freedom are excited. The main premise of our work is that related or even similar solutions exist for a much simpler dynamical system that is closely related to the 2D Euler and Navier-Stokes equations: the Hamiltonian system defined by N interacting point vortices. An understanding of such solutions to point vortex dynamics should allow one to approach the phenomena of 2D turbulence without the use of a priori statistical postulates.
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Details
- Title
- Turbulent statistical dynamics of a system of point vortices
- Creators
- H. ArefP. L. BoylandM. A. StremlerD. L. Vainchtein
- Publication Details
- Fundamental Problematic Issues in Turbulence, pp 151-161
- Series
- Trends in Mathematics
- Publisher
- Birkhäuser Basel; Basel
- Resource Type
- Book chapter
- Language
- English
- Academic Unit
- C. and J. Nyheim Plasma Institute
- Other Identifier
- 991021861622604721