scientific article; zbMATH DE number 1523382

DOI10.1023/A:1009642025051zbMath1014.37042OpenAlexW1837101491MaRDI QIDQ4511532

Anatoliy K. Prykarpatsky, Nikolai N. jun. Bogoliubov, D. L. Blackmore

Publication date: 11 January 2001

Published in: Open Systems Information Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1009642025051

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zbMATH Keywords

Lax type representationsturbulent fluid flowschaotic many particle dynamical systemsframework of infinite-dimensional Lie algebrasinvolutive hierarchy of conservation lawsLie algebra structures on rings of functions on finite-dimensional manifoldsswept volume analysis

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (3)

Finite dimensional local and nonlocal reductions of one type of hydrodynamic systems ⋮ On completely integrable Calogero-type discretizations of nonlinear Lax integrable dynamical systems and related Markov-type coadjoint orbits ⋮ The Cauchy problem for a generalized Riemann-type hydrodynamical equation

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