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Beginning of Weakly Anisotropic Turbulence

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Applied and Industrial Mathematics

Part of the book series: Mathematics and Its Applications ((MAIA,volume 56))

Abstract

Multi-phase rapidly oscillating asymptotic solutions of the Navier-Stokes equations are considered in the case of large Reynolds numbers. Regularised equations describing the evolution of the one-phase solution are obtained as well as equations for two-phase solutions generalizing the Rayleigh equation in the nonlinear case. Equations for attractors are given and a new type of instability for quasi-two-dimensional flows is considered.

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References

  1. Maslov,V.P. (1987) Resonance vortexes and coherent structures in turbulent flow, MIEM, Moscow.

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  2. Maslov.V.P. (1986) “Coherent structures, resonances and asymptotical non-uniqueness for the Navier-Stokes equations with large Reynolds numbers”, Uspekhi Mathem. Nauk 41, N6, 19–35.

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  3. Maslov,V.P. (1986) “Violation of the causality principle for unsteady equations of two- and three-dimensional gas dynamics with large numbers”, Theor. and Mathem Physics 69, N3, 361–378.

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  4. Maslov, V.P. (1988) “Lin-Lees equations for boundary layers in domains with curvilinear boundary”.Physica D 33, 266–280.

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  5. Hirshell,E.H. and Kordulla, W. (1986) “Sheer flow in surface-oriented coordinates”, Notes on Numerical Fluid Mech. 4, Vieweg, Braunschweig/Wiesbaden.

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Author information

Authors and Affiliations

  1. MIEM, B. Vuzovsky 3/12, 109028, Moscow, USSR

    V. P. Maslov

Authors
  1. V. P. Maslov
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Padova, Padova, Italy

    Renato Spigler

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© 1991 Kluwer Academic Publishers

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Maslov, V.P. (1991). Beginning of Weakly Anisotropic Turbulence. In: Spigler, R. (eds) Applied and Industrial Mathematics. Mathematics and Its Applications, vol 56. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1908-2_8

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  • DOI: https://doi.org/10.1007/978-94-009-1908-2_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7351-6

  • Online ISBN: 978-94-009-1908-2

  • eBook Packages: Springer Book Archive

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