Abstract
This paper discusses briefly the content and the lasting influence of Kolmogorov’s 1958 seminar on dynamical systems and hydrodynamic instability.
A. N. Kolmogorov considered his work on turbulence to be non-mathematical. He wanted to explain observed phenomena from first principles, i.e. from the Navier-Stokes equations. This dream was one of the sources of his interest in the theory of dynamical systems, in which he perceived a set of tools for the description of turbulent chaos.
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© 1991 The Royal Society, London
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Arnold, V.I. (1991). Kolmogorov’s hydrodynamic attractors. In: Givental, A., Khesin, B., Varchenko, A., Vassiliev, V., Viro, O. (eds) Vladimir I. Arnold - Collected Works. Vladimir I. Arnold - Collected Works, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31031-7_41
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DOI: https://doi.org/10.1007/978-3-642-31031-7_41
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-31030-0
Online ISBN: 978-3-642-31031-7
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