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Kolmogorov Spectra of Turbulence I pp 9–62Cite as

Equations of Motion and the Hamiltonian Formalism

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Part of the book series: Springer Series in Nonlinear Dynamics ((SSNONLINEAR))

Abstract

Equations describing waves in different media and written in natural variables are diverse. For example, the Bloch equations defining the motion of a magnetic moment are totally different from the Maxwell equations for nonlinear dielectrics. The latter radically differ from the Euler equations for compressible fluids. However all of them as well as many other equations describing nondis-sipative media, possess an implicit or explicit Hamiltonian structure. This was established empirically and is reflected by the fact that all these models may be derived from initial microscopic Hamiltonian equations of motion.

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Authors and Affiliations

  1. Landau Institute for Theoretical Physics, Russian Academy of Sciences, ul. Kosygina 2, 117334, Moscow, Russia

    Professor Dr. Vladimir E. Zakharov

  2. Physics Department, Weizmann Institute of Science, 76100, Rehovot, Israel

    Professor Dr. Victor S. L’vov & Dr. Gregory Falkovich

Authors
  1. Professor Dr. Vladimir E. Zakharov
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  2. Professor Dr. Victor S. L’vov
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  3. Dr. Gregory Falkovich
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© 1992 Springer-Verlag Berlin Heidelberg

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Zakharov, V.E., L’vov, V.S., Falkovich, G. (1992). Equations of Motion and the Hamiltonian Formalism. In: Kolmogorov Spectra of Turbulence I. Springer Series in Nonlinear Dynamics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-50052-7_2

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  • DOI: https://doi.org/10.1007/978-3-642-50052-7_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-50054-1

  • Online ISBN: 978-3-642-50052-7

  • eBook Packages: Springer Book Archive

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