Abstract
The dynamics of vorticity is one of the central problems of fluid dynamics. Vortex motions were aptly described by Küchemann as the “sinews and muscles of fluid motion”. In the context of turbulent motion, vortex dynamics for reasons to be described below constitutes one of the theoretical approaches to the understanding of turbulence. A further reason is the fact that in the inviscid limit v = 0, vortices form a strongly nonlinear infinite dimensional Hamiltonian system and provide a physical system for many of the modern ideas on dynamical systems and the concepts of mathematical chaos which may help clarify the nature of turbulent motion.
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Saffman, P.G. (1985). Vortex Dynamics. In: Dwoyer, D.L., Hussaini, M.Y., Voigt, R.G. (eds) Theoretical Approaches to Turbulence. Applied Mathematical Sciences, vol 58. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1092-4_11
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DOI: https://doi.org/10.1007/978-1-4612-1092-4_11
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