Original title: Hidden symmetry in turbulence and analytic study of shell models
Authors: Caggio, Matteo
Document type: Papers
Conference/Event: Topical Problems of Fluid Mechanics 2023, Prague (CZ), 20230222
Year: 2023
Language: eng
Abstract: This short communication concerns symmetries in developed turbulence and analytic study of shell models. However scale-invariance is broken due to the intermittency phenomenon, is possible to established a hidden self-similarity in turbulent flows. Using a shell model, the author in [18] (see also [19]) addressed the problem deriving a scaling symmetry for the inviscid equations. Here, first we discuss the analysis presented in [18], then, from the mathematical perspective, we propose an analytic study for the shell model with the presence of the viscous terms. This brief paper should be understood as an introductory note to this new scaling symmetry with implications for mathematical analysis [5].
Keywords: intermittency; scale-invariance symmetry; shell-models; turbulence
Project no.: GA22-01591S (CEP)
Funding provider: GA ČR
Host item entry: Topical Problems of Fluid Mechanics 2023, ISBN 978-80-87012-83-3, ISSN 2336-5781
Note: Související webová stránka: https://doi.org/10.14311/TPFM.2023.001

Institution: Institute of Mathematics AS ČR (web)
Document availability information: Fulltext is available in the digital repository of the Academy of Sciences.
Original record: https://hdl.handle.net/11104/0348310

Permalink: http://www.nusl.cz/ntk/nusl-537254


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Research > Institutes ASCR > Institute of Mathematics
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