Second-order invariants of the inviscid Lundgren-Monin-Novikov equations for \(2d\) vorticity fields

DOI10.1007/s00033-021-01562-2zbMath1468.76048OpenAlexW3166421025MaRDI QIDQ2035749

Vladimir N. Grebenev, Marta Wacławczyk, Martin Oberlack, Alexander N. Grishkov

Publication date: 25 June 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-021-01562-2

zbMATH Keywords

conformal symmetryLundgren-Monin-Novikov equationsmultiscale representation of invariantsecond-order universal differential invariant

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Applications of differential geometry to physics (53Z05) Turbulence (76F99) Geometric theory, characteristics, transformations in context of PDEs (35A30) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Cites Work

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• Conformal invariance of the Lungren–Monin–Novikov equations for vorticity fields in 2D turbulence
• Conformal invariance of the zero-vorticity Lagrangian path in 2D turbulence
• Turbulence of generalised flows in two dimensions
• Application of the extended Lie group analysis to the Hopf functional formulation of the Burgers equation

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