Hidden symmetry in turbulence and analytic study of shell models

0579475 - MÚ 2024 RIV CZ eng C - Konferenční příspěvek (zahraniční konf.)
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]
Grant CEP: GA ČR(CZ) GA22-01591S
Institucionální podpora: RVO:67985840
Klíčová slova: turbulence * scale-invariance symmetry * intermittency * shell-models
Obor OECD: 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].
Trvalý link: https://hdl.handle.net/11104/0348310