Praturi, D. S.; Plümacher, D.; Oberlack, M. On the Lie symmetries of characteristic function hierarchy in compressible turbulence. (English) Zbl 07738694 Eur. J. Appl. Math. 34, No. 5, 913-935 (2023). MSC: 76M60 76F50 PDFBibTeX XMLCite \textit{D. S. Praturi} et al., Eur. J. Appl. Math. 34, No. 5, 913--935 (2023; Zbl 07738694) Full Text: DOI
Sadeghi, H.; Oberlack, M.; Gauding, M. New symmetry-induced scaling laws of passive scalar transport in turbulent plane jets. (English) Zbl 1492.76067 J. Fluid Mech. 919, Paper No. A5, 27 p. (2021). MSC: 76F25 76F10 76F55 76M60 PDFBibTeX XMLCite \textit{H. Sadeghi} et al., J. Fluid Mech. 919, Paper No. A5, 27 p. (2021; Zbl 1492.76067) Full Text: DOI
Sadeghi, Hamed; Oberlack, Martin New scaling laws of passive scalar with a constant mean gradient in decaying isotropic turbulence. (English) Zbl 1460.76362 J. Fluid Mech. 899, Paper No. A10, 26 p. (2020). MSC: 76F05 PDFBibTeX XMLCite \textit{H. Sadeghi} and \textit{M. Oberlack}, J. Fluid Mech. 899, Paper No. A10, 26 p. (2020; Zbl 1460.76362) Full Text: DOI
Sadeghi, H.; Oberlack, M.; Gauding, M. On new scaling laws in a temporally evolving turbulent plane jet using Lie symmetry analysis and direct numerical simulation. (English) Zbl 1415.76292 J. Fluid Mech. 854, 233-260 (2018); corrigendum ibid. 885, Paper No. E1, 2 p. (2020). MSC: 76F10 76F02 76M60 76F65 PDFBibTeX XMLCite \textit{H. Sadeghi} et al., J. Fluid Mech. 854, 233--260 (2018; Zbl 1415.76292) Full Text: DOI
Wacławczyk, M.; Grebenev, V. N.; Oberlack, M. Lie symmetry analysis of the Lundgren-Monin-Novikov equations for multi-point probability density functions of turbulent flow. (English) Zbl 1364.76065 J. Phys. A, Math. Theor. 50, No. 17, Article ID 175501, 23 p. (2017). MSC: 76F20 76F55 35Q35 37K10 37N10 76M60 PDFBibTeX XMLCite \textit{M. Wacławczyk} et al., J. Phys. A, Math. Theor. 50, No. 17, Article ID 175501, 23 p. (2017; Zbl 1364.76065) Full Text: DOI
Wacławczyk, Marta; Oberlack, Martin Response to “Comment on “Application of the extended Lie group analysis to the Hopf functional formulation of the Burgers equation””. (English) Zbl 1333.76062 J. Math. Phys. 57, No. 3, 034103, 5 p. (2016). MSC: 76M60 76F55 PDFBibTeX XMLCite \textit{M. Wacławczyk} and \textit{M. Oberlack}, J. Math. Phys. 57, No. 3, 034103, 5 p. (2016; Zbl 1333.76062) Full Text: DOI
Wacławczyk, Marta; Oberlack, Martin Application of the extended Lie group analysis to the Hopf functional formulation of the Burgers equation. (English) Zbl 1302.76151 J. Math. Phys. 54, No. 7, 072901, 19 p. (2013). MSC: 76M60 76F55 PDFBibTeX XMLCite \textit{M. Wacławczyk} and \textit{M. Oberlack}, J. Math. Phys. 54, No. 7, 072901, 19 p. (2013; Zbl 1302.76151) Full Text: DOI
Oberlack, Martin; Zieleniewicz, Andreas Statistical symmetries and its impact on new decay modes and integral invariants of decaying turbulence. (English) Zbl 1273.76126 J. Turbul. 14, No. 2, 4-22 (2013). MSC: 76F05 PDFBibTeX XMLCite \textit{M. Oberlack} and \textit{A. Zieleniewicz}, J. Turbul. 14, No. 2, 4--22 (2013; Zbl 1273.76126) Full Text: DOI
Aldudak, Fettah; Oberlack, Martin Dissipation element analysis in turbulent channel flow. (English) Zbl 1250.76111 J. Fluid Mech. 694, 332-351 (2012). MSC: 76F40 76F65 76M22 PDFBibTeX XMLCite \textit{F. Aldudak} and \textit{M. Oberlack}, J. Fluid Mech. 694, 332--351 (2012; Zbl 1250.76111) Full Text: DOI
Liu, Zeng; Oberlack, Martin; Grebenev, Vladimir N.; Liao, Shi-Jun Explicit series solution of a closure model for the von Kármán-Howarth equation. (English) Zbl 1235.34065 ANZIAM J. 52, No. 2, 179-202 (2010). Reviewer: Zhanbing Bai (Qingdao) MSC: 34B15 34A05 34A45 34A25 PDFBibTeX XMLCite \textit{Z. Liu} et al., ANZIAM J. 52, No. 2, 179--202 (2010; Zbl 1235.34065) Full Text: DOI