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Relevant bibliographies by topics / Lundgren-Monin-Novikov Equations

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Academic literature on the topic 'Lundgren-Monin-Novikov Equations'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Lundgren-Monin-Novikov Equations"

1

Friedrich, Rudolf, Anton Daitche, Oliver Kamps, Johannes Lülff, Michel Voßkuhle, and Michael Wilczek. "The Lundgren–Monin–Novikov hierarchy: Kinetic equations for turbulence." Comptes Rendus Physique 13, no. 9-10 (2012): 929–53. http://dx.doi.org/10.1016/j.crhy.2012.09.009.

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2

Grebenev, V. N., A. N. Grishkov, and M. Oberlack. "SYMMETRIES OF THE LUNDGREN–MONIN–NOVIKOV EQUATION FOR PROBABILITY OF THE VORTICITY FIELD DISTRIBUTION." Доклады Российской академии наук. Физика, технические науки 509, no. 1 (2023): 50–55. http://dx.doi.org/10.31857/s2686740023010054.

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A.M. Polyakov suggested the programme to expand the symmetries admitted by hydrodynamic models to the conformal invariance of statistics in the inverse cascade where the conformal group is infinite-dimensional. In the present work, the group of transformations G of the \(n\)-point probability density function fn (PDF) is presented for the infinite chain of Lundgren–Monin–Novikov equations (the statistical form of the Euler equations) for vorticity fields of the two-dimensional inviscid flow. The problem is written in the Lagrangian setting. The main result is that the group G transforms confor

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3

Frewer, Michael, and George Khujadze. "Comment on ‘Conformal invariance of the Lundgren–Monin–Novikov equations for vorticity fields in 2D turbulence’." Journal of Physics A: Mathematical and Theoretical 54, no. 43 (2021): 438002. http://dx.doi.org/10.1088/1751-8121/abe95a.

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4

Grebenev, V. N., M. Wacławczyk, and M. Oberlack. "Reply to Comment on ‘Conformal invariance of the Lundgren–Monin–Novikov equations for vorticity fields in 2D turbulence’." Journal of Physics A: Mathematical and Theoretical 54, no. 43 (2021): 438001. http://dx.doi.org/10.1088/1751-8121/abe95b.

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5

Wacławczyk, M., V. N. Grebenev, and M. Oberlack. "Lie symmetry analysis of the Lundgren–Monin–Novikov equations for multi-point probability density functions of turbulent flow." Journal of Physics A: Mathematical and Theoretical 50, no. 17 (2017): 175501. http://dx.doi.org/10.1088/1751-8121/aa62f4.

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6

Frewer, Michael, George Khujadze, and Holger Foysi. "On the statistical symmetries of the Lundgren-Monin-Novikov hierarchy." December 23, 2015. https://doi.org/10.5281/zenodo.1204407.

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The article by M. Waclawczyk et al. [Phys. Rev. E 90, 013022 (2014)] proposes two new statistical symmetries in the classical theory for turbulent hydrodynamic flows. In this Comment, however, we show that both symmetries are unphysical due to violating the principle of causality. In addition, they must get broken in order to be consistent with all physical constraints naturally arising in the statistical Lundgren-Monin-Novikov (LMN) description of turbulence. As a result, we state that besides the well-known classical symmetries of the LMN equations no new statistical symmetries exi

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7

Grebenev, V. N., A. N. Grichkov, M. Oberlack, and M. Wacławczyk. "Second-order invariants of the inviscid Lundgren–Monin–Novikov equations for 2d vorticity fields." Zeitschrift für angewandte Mathematik und Physik 72, no. 3 (2021). http://dx.doi.org/10.1007/s00033-021-01562-2.

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8

Stegmayer, Vanessa Lynn, Simon Görtz, Schahin Akbari, and Martin Oberlack. "On the Lundgren Hierarchy of Helically Symmetric Turbulence." Fluid Dynamics Research, August 7, 2024. http://dx.doi.org/10.1088/1873-7005/ad6c7b.

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Abstract This paper analyzes the reduction of the infinite Lundgren-Monin-Novikov (LMN) hierarchy of probability density functions (PDFs) in the statistical theory of helically symmetric turbulence. Lundgren's hierarchy is considered a complete model, i.e. fully describes the joint multi-point statistic of turbulence though at the expense of dealing with an infinite set of integro-differential equations. The LMN hierarchy and its respective side-conditions are transformed to helical coordinates and thus are dimesionally reduced. In the course of development, a number of key questions were solv

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9

Frewer, Michael, George Khujadze, and Holger Foysi. "A critical examination on the symmetries and their importance for statistical turbulence theory." December 10, 2014. https://doi.org/10.5281/zenodo.1101198.

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A detailed theoretical investigation is given which demonstrates that a recently proposed set of statistical symmetries is physically void. Although they are mathematically admitted as unique symmetry transformations by the underlying statistical Navier-Stokes equations up to the functional level of the Hopf equation, by closer inspection, however, they lead to physical inconsistencies and erroneous conclusions in the theory of turbulence. These new statistical symmetries are thus misleading in so far as they form within an unmodelled theory a set of analytical results which at

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