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Hidden symmetry in turbulence and analytic study of shell models
- 1.0579475 - MÚ 2024 RIV CZ eng C - Conference Paper (international conference)
Caggio, Matteo
Hidden symmetry in turbulence and analytic study of shell models.
Topical Problems of Fluid Mechanics 2023. Praha: Ústav termomechaniky AV ČR, v. v. i., 2023 - (Šimurda, D.; Bodnár, T.), s. 1-5. ISBN 978-80-87012-83-3. ISSN 2336-5781.
[Topical Problems of Fluid Mechanics 2023. Prague (CZ), 22.02.2023-24.02.2023]
R&D Projects: GA ČR(CZ) GA22-01591S
Institutional support: RVO:67985840
Keywords : turbulence * scale-invariance symmetry * intermittency * shell-models
OECD category: Pure mathematics
https://doi.org/10.14311/TPFM.2023.001
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].
Permanent Link: https://hdl.handle.net/11104/0348310
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